313413628464 has 120 divisors (see below), whose sum is σ = 946241704512. Its totient is φ = 96470599680.

The previous prime is 313413628439. The next prime is 313413628469. The reversal of 313413628464 is 464826314313.

313413628464 is a `hidden beast` number, since 3 + 1 + 3 + 4 + 13 + 628 + 4 + 6 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (313413628469) by changing a digit.

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, 1078072 + ... + 1337559.

Almost surely, 2^313413628464 is an apocalyptic number.

313413628464 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

313413628464 is an abundant number, since it is smaller than the sum of its proper divisors (632828076048).

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

313413628464 is a wasteful number, since it uses less digits than its factorization.

313413628464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2415715 (or 2415706 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The spelling of 313413628464 in words is "three hundred thirteen billion, four hundred thirteen million, six hundred twenty-eight thousand, four hundred sixty-four".