315364613445153 has 64 divisors (see below), whose sum is σ = 471451594752000. Its totient is φ = 208337067271872.

The previous prime is 315364613445109. The next prime is 315364613445311. The reversal of 315364613445153 is 351544316463513.

315364613445153 is a `hidden beast` number, since 3 + 1 + 5 + 3 + 6 + 4 + 6 + 134 + 451 + 53 = 666.

It is not a de Polignac number, because 315364613445153 - 2⁸ = 315364613444897 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 315364613445153.

It is not an unprimeable number, because it can be changed into a prime (315364613445053) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10351007626 + ... + 10351038092.

It is an arithmetic number, because the mean of its divisors is an integer number (7366431168000).

Almost surely, 2^{315364613445153} is an apocalyptic number.

It is an amenable number.

315364613445153 is a deficient number, since it is larger than the sum of its proper divisors (156086981306847).

315364613445153 is a wasteful number, since it uses less digits than its factorization.

315364613445153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34131 (or 34125 counting only the distinct ones).

The product of its digits is 23328000, while the sum is 54.

The spelling of 315364613445153 in words is "three hundred fifteen trillion, three hundred sixty-four billion, six hundred thirteen million, four hundred forty-five thousand, one hundred fifty-three".