315484930190016 has 336 divisors, whose sum is σ = 936741836878848. Its totient is φ = 101410722662400.

The previous prime is 315484930190009. The next prime is 315484930190021. The reversal of 315484930190016 is 610091039484513.

315484930190016 is a `hidden beast` number, since 3 + 1 + 54 + 8 + 493 + 0 + 1 + 90 + 0 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35198581951 + ... + 35198590913.

It is an arithmetic number, because the mean of its divisors is an integer number (2787922133568).

Almost surely, 2^{315484930190016} is an apocalyptic number.

315484930190016 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 315484930190016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468370918439424).

315484930190016 is an abundant number, since it is smaller than the sum of its proper divisors (621256906688832).

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

315484930190016 is a wasteful number, since it uses less digits than its factorization.

315484930190016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15740 (or 15727 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 315484930190016 in words is "three hundred fifteen trillion, four hundred eighty-four billion, nine hundred thirty million, one hundred ninety thousand, sixteen".