314576278641 has 21 divisors (see below), whose sum is σ = 471671365179. Its totient is φ = 209707423416.

The previous prime is 314576278603. The next prime is 314576278663. The reversal of 314576278641 is 146872675413.

The square root of 314576278641 is 560871.

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

314576278641 is a `hidden beast` number, since 3 + 1 + 4 + 5 + 7 + 627 + 8 + 6 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 295256390625 + 19319888016 = 543375^2 + 138996^2 .

It is not a de Polignac number, because 314576278641 - 2²⁷ = 314442060913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (314576278141) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 15133131 + ... + 15153903.

It is an arithmetic number, because the mean of its divisors is an integer number (22460541199).

Almost surely, 2^314576278641 is an apocalyptic number.

314576278641 is the 560871-st square number.

314576278641 is the 280436-th centered octagonal number.

It is an amenable number.

314576278641 is a deficient number, since it is larger than the sum of its proper divisors (157095086538).

314576278641 is an frugal number, since it uses more digits than its factorization.

314576278641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41564 (or 20776 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 314576278641 in words is "three hundred fourteen billion, five hundred seventy-six million, two hundred seventy-eight thousand, six hundred forty-one".