315916906320 has 100 divisors (see below), whose sum is σ = 1097226240660. Its totient is φ = 84244506624.

The previous prime is 315916906273. The next prime is 315916906337. The reversal of 315916906320 is 23609619513.

315916906320 is a `hidden beast` number, since 3 + 1 + 5 + 9 + 1 + 6 + 9 + 0 + 632 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 95340147984 + 220576758336 = 308772^2 + 469656^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24369825 + ... + 24382784.

Almost surely, 2^315916906320 is an apocalyptic number.

315916906320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

315916906320 is an abundant number, since it is smaller than the sum of its proper divisors (781309334340).

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

315916906320 is a wasteful number, since it uses less digits than its factorization.

315916906320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48752634 (or 48752619 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 315916906320 in words is "three hundred fifteen billion, nine hundred sixteen million, nine hundred six thousand, three hundred twenty".