314720826768 has 120 divisors (see below), whose sum is σ = 886275149760. Its totient is φ = 104254536960.

The previous prime is 314720826727. The next prime is 314720826781. The reversal of 314720826768 is 867628027413.

314720826768 is a `hidden beast` number, since 31 + 472 + 0 + 82 + 6 + 7 + 68 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15934243 + ... + 15953981.

It is an arithmetic number, because the mean of its divisors is an integer number (7385626248).

Almost surely, 2^314720826768 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 314720826768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443137574880).

314720826768 is an abundant number, since it is smaller than the sum of its proper divisors (571554322992).

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

314720826768 is a wasteful number, since it uses less digits than its factorization.

314720826768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20437 (or 20428 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 314720826768 in words is "three hundred fourteen billion, seven hundred twenty million, eight hundred twenty-six thousand, seven hundred sixty-eight".