315913568256 has 768 divisors, whose sum is σ = 1112878670400. Its totient is φ = 87978147840.

The previous prime is 315913568237. The next prime is 315913568261. The reversal of 315913568256 is 652865319513.

315913568256 is a `hidden beast` number, since 3 + 1 + 59 + 1 + 3 + 568 + 25 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1391689615 + ... + 1391689841.

Almost surely, 2^315913568256 is an apocalyptic number.

315913568256 is a gapful number since it is divisible by the number (36) 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 315913568256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556439335200).

315913568256 is an abundant number, since it is smaller than the sum of its proper divisors (796965102144).

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

315913568256 is a wasteful number, since it uses less digits than its factorization.

315913568256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 256 counting only the distinct ones).

The product of its digits is 5832000, while the sum is 54.

The spelling of 315913568256 in words is "three hundred fifteen billion, nine hundred thirteen million, five hundred sixty-eight thousand, two hundred fifty-six".