314015552000 has 80 divisors (see below), whose sum is σ = 783017564472. Its totient is φ = 125606195200.

The previous prime is 314015551987. The next prime is 314015552017. The reversal of 314015552000 is 255510413.

It can be written as a sum of positive squares in 4 ways, for example, as 71746836736 + 242268715264 = 267856^2 + 492208^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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, 2389247 + ... + 2517246.

Almost surely, 2^314015552000 is an apocalyptic number.

It is an amenable number.

314015552000 is an abundant number, since it is smaller than the sum of its proper divisors (469002012472).

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

314015552000 is an frugal number, since it uses more digits than its factorization.

314015552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4906526 (or 4906500 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

The spelling of 314015552000 in words is "three hundred fourteen billion, fifteen million, five hundred fifty-two thousand".