314106444304 has 45 divisors (see below), whose sum is σ = 612977860687. Its totient is φ = 155926713632.

The previous prime is 314106444293. The next prime is 314106444313. The reversal of 314106444304 is 403444601413.

The square root of 314106444304 is 560452.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 314106444304.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 374381517 + ... + 374382355.

Almost surely, 2^314106444304 is an apocalyptic number.

314106444304 is the 560452-nd square number.

It is an amenable number.

314106444304 is a deficient number, since it is larger than the sum of its proper divisors (298871416383).

314106444304 is an frugal number, since it uses more digits than its factorization.

314106444304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2020 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

The spelling of 314106444304 in words is "three hundred fourteen billion, one hundred six million, four hundred forty-four thousand, three hundred four".