315011392252128 has 432 divisors, whose sum is σ = 1122773677775568. Its totient is φ = 82931833036800.

The previous prime is 315011392252097. The next prime is 315011392252159. The reversal of 315011392252128 is 821252293110513.

315011392252128 is a `hidden beast` number, since 3 + 1 + 5 + 0 + 1 + 1 + 392 + 252 + 1 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (315011392252097) and next prime (315011392252159).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12750138 + ... + 28152953.

It is an arithmetic number, because the mean of its divisors is an integer number (2599013142999).

Almost surely, 2^{315011392252128} is an apocalyptic number.

It is an amenable number.

315011392252128 is an abundant number, since it is smaller than the sum of its proper divisors (807762285523440).

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

315011392252128 is a wasteful number, since it uses less digits than its factorization.

315011392252128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40903159 (or 40903137 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 315011392252128 in words is "three hundred fifteen trillion, eleven billion, three hundred ninety-two million, two hundred fifty-two thousand, one hundred twenty-eight".