315105348096 has 320 divisors, whose sum is σ = 1162892712960. Its totient is φ = 81845268480.

The previous prime is 315105348011. The next prime is 315105348127. The reversal of 315105348096 is 690843501513.

315105348096 is a `hidden beast` number, since 3 + 1 + 510 + 5 + 3 + 48 + 0 + 96 = 666.

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, 916435 + ... + 1212461.

It is an arithmetic number, because the mean of its divisors is an integer number (3634039728).

Almost surely, 2^315105348096 is an apocalyptic number.

315105348096 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 315105348096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581446356480).

315105348096 is an abundant number, since it is smaller than the sum of its proper divisors (847787364864).

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

315105348096 is a wasteful number, since it uses less digits than its factorization.

315105348096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296072 (or 296050 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 315105348096 in words is "three hundred fifteen billion, one hundred five million, three hundred forty-eight thousand, ninety-six".