314265640224 has 96 divisors (see below), whose sum is σ = 884080068480. Its totient is φ = 97492488192.

The previous prime is 314265640219. The next prime is 314265640237. The reversal of 314265640224 is 422046562413.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1841689 + ... + 2005080.

It is an arithmetic number, because the mean of its divisors is an integer number (9209167380).

Almost surely, 2^314265640224 is an apocalyptic number.

It is an amenable number.

314265640224 is an abundant number, since it is smaller than the sum of its proper divisors (569814428256).

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

314265640224 is a wasteful number, since it uses less digits than its factorization.

314265640224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3846842 (or 3846834 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

The spelling of 314265640224 in words is "three hundred fourteen billion, two hundred sixty-five million, six hundred forty thousand, two hundred twenty-four".