315161054208 has 1056 divisors, whose sum is σ = 1236044759040. Its totient is φ = 74689413120.

The previous prime is 315161054203. The next prime is 315161054237. The reversal of 315161054208 is 802450161513.

315161054208 is a `hidden beast` number, since 3 + 1 + 51 + 61 + 0 + 542 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is not an unprimeable number, because it can be changed into a prime (315161054203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1171602298 + ... + 1171602566.

Almost surely, 2^315161054208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315161054208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618022379520).

315161054208 is an abundant number, since it is smaller than the sum of its proper divisors (920883704832).

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

315161054208 is a wasteful number, since it uses less digits than its factorization.

315161054208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 432 counting only the distinct ones).

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

The spelling of 315161054208 in words is "three hundred fifteen billion, one hundred sixty-one million, fifty-four thousand, two hundred eight".