313496968464 has 225 divisors, whose sum is σ = 922353979239. Its totient is φ = 102799108800.

The previous prime is 313496968429. The next prime is 313496968487. The reversal of 313496968464 is 464869694313.

The square root of 313496968464 is 559908.

It is a perfect power (a square), and thus also a powerful number.

313496968464 is a `hidden beast` number, since 3 + 1 + 3 + 496 + 9 + 6 + 84 + 64 = 666.

It is a super-2 number, since 2×313496968464² (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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 44 ways as a sum of consecutive naturals, for example, 2076138789 + ... + 2076138939.

Almost surely, 2^313496968464 is an apocalyptic number.

313496968464 is the 559908-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313496968464

313496968464 is an abundant number, since it is smaller than the sum of its proper divisors (608857010775).

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

313496968464 is an equidigital number, since it uses as much as digits as its factorization.

313496968464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 259 counting only the distinct ones).

The product of its digits is 80621568, while the sum is 63.

Subtracting from 313496968464 its product of digits (80621568), we obtain a square (313416346896 = 559836²).

The spelling of 313496968464 in words is "three hundred thirteen billion, four hundred ninety-six million, nine hundred sixty-eight thousand, four hundred sixty-four".