86930434031617 has 32 divisors (see below), whose sum is σ = 99356640251904. Its totient is φ = 75334474353600.

The previous prime is 86930434031557. The next prime is 86930434031627. The reversal of 86930434031617 is 71613043403968.

It is a de Polignac number, because none of the positive numbers 2^k-86930434031617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86930434031627) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1350385443 + ... + 1350449815.

It is an arithmetic number, because the mean of its divisors is an integer number (3104895007872).

Almost surely, 2^{86930434031617} is an apocalyptic number.

It is an amenable number.

86930434031617 is a deficient number, since it is larger than the sum of its proper divisors (12426206220287).

86930434031617 is a wasteful number, since it uses less digits than its factorization.

86930434031617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123589.

The product of its (nonzero) digits is 7838208, while the sum is 55.

The spelling of 86930434031617 in words is "eighty-six trillion, nine hundred thirty billion, four hundred thirty-four million, thirty-one thousand, six hundred seventeen".