14561856 has 105 divisors (see below), whose sum is σ = 43995721. Its totient is φ = 4762368.

The previous prime is 14561851. The next prime is 14561863. The reversal of 14561856 is 65816541.

The square root of 14561856 is 3816.

It is a perfect power (a square), and thus also a powerful number.

14561856 is a `hidden beast` number, since 14 + 561 + 85 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10497600 + 4064256 = 3240^2 + 2016^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 14561856.

It is not an unprimeable number, because it can be changed into a prime (14561851) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 274726 + ... + 274778.

Almost surely, 2^14561856 is an apocalyptic number.

14561856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14561856 is the 3816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14561856

14561856 is an abundant number, since it is smaller than the sum of its proper divisors (29433865).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14561856 is an frugal number, since it uses more digits than its factorization.

14561856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 58 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The cubic root of 14561856 is about 244.1962051702.

Multiplying 14561856 by its sum of digits (36), we get a square (524226816 = 22896²).

14561856 divided by its sum of digits (36) gives a square (404496 = 636²).

It can be divided in two parts, 145 and 61856, that added together give a square (62001 = 249²).

The spelling of 14561856 in words is "fourteen million, five hundred sixty-one thousand, eight hundred fifty-six".