315116610644664 has 256 divisors, whose sum is σ = 929964923596800. Its totient is φ = 98524097777664.

The previous prime is 315116610644603. The next prime is 315116610644677. The reversal of 315116610644664 is 466446016611513.

315116610644664 is a `hidden beast` number, since 3 + 1 + 5 + 1 + 16 + 610 + 6 + 4 + 4 + 6 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 315116610644664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6214434399 + ... + 6214485105.

It is an arithmetic number, because the mean of its divisors is an integer number (3632675482800).

Almost surely, 2^{315116610644664} is an apocalyptic number.

315116610644664 is a gapful number since it is divisible by the number (34) 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 315116610644664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464982461798400).

315116610644664 is an abundant number, since it is smaller than the sum of its proper divisors (614848312952136).

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

315116610644664 is a wasteful number, since it uses less digits than its factorization.

315116610644664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56459 (or 56449 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 315116610644664 in words is "three hundred fifteen trillion, one hundred sixteen billion, six hundred ten million, six hundred forty-four thousand, six hundred sixty-four".