314914857264 has 400 divisors, whose sum is σ = 1077407232000. Its totient is φ = 86937297408.

The previous prime is 314914857259. The next prime is 314914857277. The reversal of 314914857264 is 462758419413.

314914857264 is a `hidden beast` number, since 3 + 1 + 4 + 9 + 1 + 4 + 8 + 572 + 64 = 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 314914857264.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33679662 + ... + 33689010.

It is an arithmetic number, because the mean of its divisors is an integer number (2693518080).

Almost surely, 2^314914857264 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 314914857264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538703616000).

314914857264 is an abundant number, since it is smaller than the sum of its proper divisors (762492374736).

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

314914857264 is a wasteful number, since it uses less digits than its factorization.

314914857264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9502 (or 9487 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 314914857264 in words is "three hundred fourteen billion, nine hundred fourteen million, eight hundred fifty-seven thousand, two hundred sixty-four".