313446564 has 48 divisors (see below), whose sum is σ = 813603840. Its totient is φ = 104358240.

The previous prime is 313446533. The next prime is 313446577. The reversal of 313446564 is 465644313.

313446564 is a `hidden beast` number, since 3 + 134 + 465 + 64 = 666.

313446564 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 157882 + ... + 159854.

It is an arithmetic number, because the mean of its divisors is an integer number (16950080).

Almost surely, 2^313446564 is an apocalyptic number.

It is an amenable number.

313446564 is an abundant number, since it is smaller than the sum of its proper divisors (500157276).

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

313446564 is a wasteful number, since it uses less digits than its factorization.

313446564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3457 (or 3449 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 313446564 is about 17704.4221594493. The cubic root of 313446564 is about 679.2888788533.

The spelling of 313446564 in words is "three hundred thirteen million, four hundred forty-six thousand, five hundred sixty-four".