312714705681 has 81 divisors (see below), whose sum is σ = 543575231433. Its totient is φ = 172728475920.

The previous prime is 312714705649. The next prime is 312714705727. The reversal of 312714705681 is 186507417213.

The square root of 312714705681 is 559209.

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

312714705681 is a `hidden beast` number, since 3 + 1 + 2 + 7 + 14 + 70 + 568 + 1 = 666.

It is not a de Polignac number, because 312714705681 - 2⁵ = 312714705649 is a prime.

It is a super-2 number, since 2×312714705681² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (312714705481) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 364044630 + ... + 364045488.

Almost surely, 2^312714705681 is an apocalyptic number.

312714705681 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

312714705681 is the 559209-th square number.

312714705681 is the 279605-th centered octagonal number.

It is an amenable number.

312714705681 is a deficient number, since it is larger than the sum of its proper divisors (230860525752).

312714705681 is an frugal number, since it uses more digits than its factorization.

312714705681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1800 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 312714705681 in words is "three hundred twelve billion, seven hundred fourteen million, seven hundred five thousand, six hundred eighty-one".