314945664 has 64 divisors (see below), whose sum is σ = 912638880. Its totient is φ = 95436800.

The previous prime is 314945651. The next prime is 314945671. The reversal of 314945664 is 466549413.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33057 + ... + 41504.

Almost surely, 2^314945664 is an apocalyptic number.

It is an amenable number.

314945664 is an abundant number, since it is smaller than the sum of its proper divisors (597693216).

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

314945664 is a wasteful number, since it uses less digits than its factorization.

314945664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74589 (or 74577 counting only the distinct ones).

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

The square root of 314945664 is about 17746.7085398955. The cubic root of 314945664 is about 680.3700868960.

The spelling of 314945664 in words is "three hundred fourteen million, nine hundred forty-five thousand, six hundred sixty-four".