3811456512 has 160 divisors (see below), whose sum is σ = 11332712160. Its totient is φ = 1264803840.

The previous prime is 3811456511. The next prime is 3811456513. The reversal of 3811456512 is 2156541183.

3811456512 is a `hidden beast` number, since 3 + 81 + 1 + 4 + 565 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (3811456511) and next prime (3811456513).

It is a super-2 number, since 2×3811456512² = 29054401485734412288, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3811456511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4049962 + ... + 4050902.

It is an arithmetic number, because the mean of its divisors is an integer number (70829451).

Almost surely, 2^3811456512 is an apocalyptic number.

3811456512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3811456512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5666356080).

3811456512 is an abundant number, since it is smaller than the sum of its proper divisors (7521255648).

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

3811456512 is an equidigital number, since it uses as much as digits as its factorization.

3811456512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1239 counting only the distinct ones).

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

The square root of 3811456512 is about 61736.9946790415. The cubic root of 3811456512 is about 1562.0574037464.

Adding to 3811456512 its reverse (2156541183), we get a palindrome (5967997695).

The spelling of 3811456512 in words is "three billion, eight hundred eleven million, four hundred fifty-six thousand, five hundred twelve".