315426769340928 has 320 divisors, whose sum is σ = 1016902902977280. Its totient is φ = 84816542564352.

The previous prime is 315426769340897. The next prime is 315426769340941. The reversal of 315426769340928 is 829043967624513.

It is a super-2 number, since 2×315426769340928² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6918899958 + ... + 6918945546.

It is an arithmetic number, because the mean of its divisors is an integer number (3177821571804).

It is a 1-persistent number, because it is pandigital, but 2⋅315426769340928 = 630853538681856 is not.

Almost surely, 2^{315426769340928} 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 315426769340928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508451451488640).

315426769340928 is an abundant number, since it is smaller than the sum of its proper divisors (701476133636352).

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

315426769340928 is a wasteful number, since it uses less digits than its factorization.

315426769340928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83487 (or 83471 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 69.

The spelling of 315426769340928 in words is "three hundred fifteen trillion, four hundred twenty-six billion, seven hundred sixty-nine million, three hundred forty thousand, nine hundred twenty-eight".