313964675712 has 768 divisors, whose sum is σ = 1036138521600. Its totient is φ = 90742063104.

The previous prime is 313964675711. The next prime is 313964675719. The reversal of 313964675712 is 217576469313.

313964675712 is a `hidden beast` number, since 3 + 1 + 3 + 9 + 6 + 4 + 67 + 571 + 2 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (5715360) is a multiple of the sum of its prime divisors (378).

It is not an unprimeable number, because it can be changed into a prime (313964675711) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1407913233 + ... + 1407913455.

It is an arithmetic number, because the mean of its divisors is an integer number (1349138700).

Almost surely, 2^313964675712 is an apocalyptic number.

313964675712 is a gapful number since it is divisible by the number (32) 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 313964675712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518069260800).

313964675712 is an abundant number, since it is smaller than the sum of its proper divisors (722173845888).

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

313964675712 is a wasteful number, since it uses less digits than its factorization.

313964675712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 378 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The spelling of 313964675712 in words is "three hundred thirteen billion, nine hundred sixty-four million, six hundred seventy-five thousand, seven hundred twelve".