315642051756 has 72 divisors (see below), whose sum is σ = 812379531600. Its totient is φ = 103305386880.

The previous prime is 315642051713. The next prime is 315642051757. The reversal of 315642051756 is 657150246513.

315642051756 is a `hidden beast` number, since 3 + 1 + 5 + 64 + 20 + 517 + 56 = 666.

It is not an unprimeable number, because it can be changed into a prime (315642051757) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1671166 + ... + 1850426.

It is an arithmetic number, because the mean of its divisors is an integer number (11283049050).

Almost surely, 2^315642051756 is an apocalyptic number.

315642051756 is a gapful number since it is divisible by the number (36) 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 315642051756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406189765800).

315642051756 is an abundant number, since it is smaller than the sum of its proper divisors (496737479844).

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

315642051756 is a wasteful number, since it uses less digits than its factorization.

315642051756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180159 (or 180154 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 315642051756 in words is "three hundred fifteen billion, six hundred forty-two million, fifty-one thousand, seven hundred fifty-six".