315631308096 has 672 divisors, whose sum is σ = 1066158213120. Its totient is φ = 91853346816.

The previous prime is 315631308049. The next prime is 315631308101. The reversal of 315631308096 is 690803136513.

315631308096 is a `hidden beast` number, since 3 + 1 + 5 + 631 + 3 + 0 + 8 + 0 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 478954615 + ... + 478955273.

It is an arithmetic number, because the mean of its divisors is an integer number (1586544960).

Almost surely, 2^315631308096 is an apocalyptic number.

315631308096 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 315631308096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533079106560).

315631308096 is an abundant number, since it is smaller than the sum of its proper divisors (750526905024).

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

315631308096 is a wasteful number, since it uses less digits than its factorization.

315631308096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 315631308096 in words is "three hundred fifteen billion, six hundred thirty-one million, three hundred eight thousand, ninety-six".