315016161664032 has 192 divisors, whose sum is σ = 927948928757760. Its totient is φ = 103959976995072.

The previous prime is 315016161664007. The next prime is 315016161664133. The reversal of 315016161664032 is 230466161610513.

315016161664032 is a `hidden beast` number, since 3 + 1 + 501 + 6 + 16 + 1 + 66 + 40 + 32 = 666.

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 31 ways as a sum of consecutive naturals, for example, 357931273 + ... + 358810295.

It is an arithmetic number, because the mean of its divisors is an integer number (4833067337280).

Almost surely, 2^{315016161664032} is an apocalyptic number.

315016161664032 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 315016161664032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463974464378880).

315016161664032 is an abundant number, since it is smaller than the sum of its proper divisors (612932767093728).

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

315016161664032 is a wasteful number, since it uses less digits than its factorization.

315016161664032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883172 (or 883158 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 315016161664032 in words is "three hundred fifteen trillion, sixteen billion, one hundred sixty-one million, six hundred sixty-four thousand, thirty-two".