314946562401 has 9 divisors (see below), whose sum is σ = 454925244241. Its totient is φ = 209963252532.

The previous prime is 314946562367. The next prime is 314946562433. The reversal of 314946562401 is 104265649413.

The square root of 314946562401 is 561201.

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

314946562401 is a `hidden beast` number, since 3 + 1 + 4 + 9 + 46 + 562 + 40 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is a de Polignac number, because none of the positive numbers 2^k-314946562401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (314946562201) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1590070 + ... + 1777136.

Almost surely, 2^314946562401 is an apocalyptic number.

314946562401 is the 561201-st square number.

314946562401 is the 280601-st centered octagonal number.

It is an amenable number.

314946562401 is a deficient number, since it is larger than the sum of its proper divisors (139978681840).

314946562401 is an frugal number, since it uses more digits than its factorization.

314946562401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374140 (or 187070 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 314946562401 in words is "three hundred fourteen billion, nine hundred forty-six million, five hundred sixty-two thousand, four hundred one".