313685664 has 48 divisors (see below), whose sum is σ = 824473440. Its totient is φ = 104428800.

The previous prime is 313685633. The next prime is 313685689. The reversal of 313685664 is 466586313.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99342 + ... + 102450.

It is an arithmetic number, because the mean of its divisors is an integer number (17176530).

Almost surely, 2^313685664 is an apocalyptic number.

It is an amenable number.

313685664 is an abundant number, since it is smaller than the sum of its proper divisors (510787776).

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

313685664 is a wasteful number, since it uses less digits than its factorization.

313685664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4173 (or 4165 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 313685664 is about 17711.1734224472. The cubic root of 313685664 is about 679.4615576117.

The spelling of 313685664 in words is "three hundred thirteen million, six hundred eighty-five thousand, six hundred sixty-four".