314823876768 has 360 divisors, whose sum is σ = 962858080800. Its totient is φ = 100906041600.

The previous prime is 314823876733. The next prime is 314823876817. The reversal of 314823876768 is 867678328413.

314823876768 is a `hidden beast` number, since 3 + 1 + 482 + 3 + 87 + 6 + 76 + 8 = 666.

It is a super-2 number, since 2×314823876768² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 525582133 + ... + 525582731.

It is an arithmetic number, because the mean of its divisors is an integer number (2674605780).

Almost surely, 2^314823876768 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 314823876768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481429040400).

314823876768 is an abundant number, since it is smaller than the sum of its proper divisors (648034204032).

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

314823876768 is a wasteful number, since it uses less digits than its factorization.

314823876768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 846 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 63.

The spelling of 314823876768 in words is "three hundred fourteen billion, eight hundred twenty-three million, eight hundred seventy-six thousand, seven hundred sixty-eight".