315746634130432 has 176 divisors, whose sum is σ = 651768894000000. Its totient is φ = 152771854270464.

The previous prime is 315746634130391. The next prime is 315746634130471. The reversal of 315746634130432 is 234031436647513.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 315746634130432.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22159206444 + ... + 22159220692.

Almost surely, 2^{315746634130432} is an apocalyptic number.

315746634130432 is a gapful number since it is divisible by the number (32) 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 315746634130432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325884447000000).

315746634130432 is an abundant number, since it is smaller than the sum of its proper divisors (336022259869568).

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

315746634130432 is a wasteful number, since it uses less digits than its factorization.

315746634130432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17444 (or 17426 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 52.

The spelling of 315746634130432 in words is "three hundred fifteen trillion, seven hundred forty-six billion, six hundred thirty-four million, one hundred thirty thousand, four hundred thirty-two".