312689227617 has 12 divisors (see below), whose sum is σ = 486405465364. Its totient is φ = 192424140000.

The previous prime is 312689227589. The next prime is 312689227661. The reversal of 312689227617 is 716722986213.

It is a happy number.

312689227617 is a `hidden beast` number, since 3 + 12 + 6 + 8 + 9 + 2 + 2 + 7 + 617 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 172520606736 + 140168620881 = 415356^2 + 374391^2 .

It is not a de Polignac number, because 312689227617 - 2²² = 312685033313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (312689222617) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1336278634 + ... + 1336278867.

Almost surely, 2^312689227617 is an apocalyptic number.

It is an amenable number.

312689227617 is a deficient number, since it is larger than the sum of its proper divisors (173716237747).

312689227617 is a wasteful number, since it uses less digits than its factorization.

312689227617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2672557520 (or 2672557517 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The spelling of 312689227617 in words is "three hundred twelve billion, six hundred eighty-nine million, two hundred twenty-seven thousand, six hundred seventeen".