313612406465211 has 48 divisors (see below), whose sum is σ = 518378036859904. Its totient is φ = 178975660940352.

The previous prime is 313612406465177. The next prime is 313612406465339. The reversal of 313612406465211 is 112564604216313.

313612406465211 is a `hidden beast` number, since 3 + 1 + 3 + 61 + 2 + 4 + 0 + 64 + 6 + 521 + 1 = 666.

It is not a de Polignac number, because 313612406465211 - 2¹⁵ = 313612406432443 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313612406865211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 698544570 + ... + 698993376.

Almost surely, 2^{313612406465211} is an apocalyptic number.

313612406465211 is a deficient number, since it is larger than the sum of its proper divisors (204765630394693).

313612406465211 is a wasteful number, since it uses less digits than its factorization.

313612406465211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463120 (or 463117 counting only the distinct ones).

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

The spelling of 313612406465211 in words is "three hundred thirteen trillion, six hundred twelve billion, four hundred six million, four hundred sixty-five thousand, two hundred eleven".