318068299275264 has 528 divisors, whose sum is σ = 947915950760064. Its totient is φ = 102661558272000.

The previous prime is 318068299275247. The next prime is 318068299275347. The reversal of 318068299275264 is 462572992860813.

318068299275264 is a `hidden beast` number, since 3 + 1 + 8 + 0 + 6 + 8 + 2 + 9 + 92 + 7 + 526 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 318068299275192 and 318068299275201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62971349539 + ... + 62971354589.

It is an arithmetic number, because the mean of its divisors is an integer number (1795295361288).

It is a 1-persistent number, because it is pandigital, but 2⋅318068299275264 = 636136598550528 is not.

Almost surely, 2^{318068299275264} 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 318068299275264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473957975380032).

318068299275264 is an abundant number, since it is smaller than the sum of its proper divisors (629847651484800).

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

318068299275264 is a wasteful number, since it uses less digits than its factorization.

318068299275264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6464 (or 6443 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 318068299275264 in words is "three hundred eighteen trillion, sixty-eight billion, two hundred ninety-nine million, two hundred seventy-five thousand, two hundred sixty-four".