This web site analyzes numbers up to 10¹⁵ and identifies more than 170 properties. For each family of numbers I present some examples of numbers which also belong to other families.

Due to algorithmic and time constraints some properties cannot be tested in real-time up to 10¹⁵ and similarly, when I crossed the various families to find common members, often I cannot consider all the members up to 10¹⁵.

For those numbers families for which recognition and/or crossing is not performed up to 15 digits (10¹⁵), I report the actual limits I used in the table below.

Please note that in the "cross" section I disregard common numbers below 10, because, well..., they are too common.

Family	Search	Cross	Notes
aban	1012	1015
eban	1015	1015
iban	1015	1015
oban	1015	1015
uban	1015	1015
ABA	1015	1013
a-pointer	1015	1010
abundant	1015	5×107
Achilles	1015	5×1013
admirable	1015	108
amicable	1012	1014
alternating	1015	109
amenable	1015	109
anti-perfect	3×108	3×108
apocalyptic	*	30000	Numbers over 3⋅106 are apocalyptic exponents with high probability
arithmetic	1015	107
dig.balanced	1015	2×108
bemirp	1015	2×1014
betrothed	2.03×1010	2.03×1010
balanced p.	1015	1010
binomial	1015	1013
brilliant	1015	109
Carmichael	1015	1012
congruent	*	107	numbers whose squarefree part is < 107
Chen	109	108
Curzon	1015	2×108
cyclic	1015	107
d-powerful	107	107
D-number	7043133	7043133
deceptive	1015	1011
deficient	1015	107
de Polignac	1015	108
droll	1015	1015
Duffinian	1015	107
economical	1015	2×107
emirp	1015	2×108
emirpimes	1012	108
enlightened	1015	5.57×1011
equidigital	1015	2×107
eRAP	1012	1012
esthetic	1015	1015
evil	1015	109
fibodiv	1015	1.14×1010
Friedman	106	106	A few numbers may be missing
frugal	1015	109
gapful	1015	1011
Gilda	1015	1.61×1010
good prime	1015	2×108
happy	1015	107
harmonic	1015	1014
Harshad	1015	1010
hoax	1015	108
Honaker	109	109
hungry	108	108
hyperperfect	1015	4×1012
iccanobiF	1.1×1014	1.1×1014
interprime	1015	108
inconsummate	106	106
junction	1015	108
Lehmer	1015	1012
lonely	1014	1014
lucky	107	107
modest	1015	2×109
Moran	1015	108
nude	1015	5×108
odious	1015	109
panconsummate	106	106	Actually, it is conjectured that the largest term is 3097
pandigital	1015	1010
palprime	1015	1015
pernicious	1015	107
persistent	1015	1011
power	1015	5×1013
powerful	1015	1015
practical	1015	106
prime	1015	1012
primeval	1.01×1011	1.01×1011
prim.abundant	1015	108
Proth	1015	1012
pseudoperfect	106	106	Some numbers larger than 106 are recognized using their properties
repdigit	1015	1015
repunit	1015	1015
Rhonda	1015	1012
Ruth-Aaron	1012	1012
self	1015	109
semiprime	1015	108
sliding	1015	1015
Smith	1015	108
Sophie Germain	1015	108
sphenic	1015	108
strong prime	1015	108
super-d	1015	107
super Niven	1015	5×1010
tau	1015	109
taxicab	1015	1015
tcefrep	1015	1013
truncatable prime	1015	1015
twin	1015	109
Ulam	107	107
untouchable	106	106
unprimeable	1015	107
vampire	1010	1010
wasteful	1015	107
weak prime	1015	108
weakly prime	1015	1011
weird	106	106
Wieferich	*	1015	The largest known number 16547533489305 is also the last, unless a third Wieferich prime exists.
Zuckerman	1015	1010
Zumkeller	105	105	Some numbers larger than 105 are recognized using their properties