315844160256 has 108 divisors (see below), whose sum is σ = 911166103120. Its totient is φ = 105222481920.

The previous prime is 315844160213. The next prime is 315844160263. The reversal of 315844160256 is 652061448513.

315844160256 is a `hidden beast` number, since 3 + 1 + 584 + 4 + 1 + 60 + 2 + 5 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4181190 + ... + 4256058.

Almost surely, 2^315844160256 is an apocalyptic number.

315844160256 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 315844160256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455583051560).

315844160256 is an abundant number, since it is smaller than the sum of its proper divisors (595321942864).

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

315844160256 is a wasteful number, since it uses less digits than its factorization.

315844160256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76722 (or 76705 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

It can be divided in two parts, 315844 and 160256, that added together give a square (476100 = 690²).

The spelling of 315844160256 in words is "three hundred fifteen billion, eight hundred forty-four million, one hundred sixty thousand, two hundred fifty-six".