115317211617 has 24 divisors (see below), whose sum is σ = 176320372800. Its totient is φ = 72500950368.

The previous prime is 115317211591. The next prime is 115317211621. The reversal of 115317211617 is 716112713511.

115317211617 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 17 + 21 + 1 + 617 = 666.

It is not a de Polignac number, because 115317211617 - 2¹¹ = 115317209569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (115317211657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5126317 + ... + 5148762.

It is an arithmetic number, because the mean of its divisors is an integer number (7346682200).

Almost surely, 2^115317211617 is an apocalyptic number.

It is an amenable number.

115317211617 is a deficient number, since it is larger than the sum of its proper divisors (61003161183).

115317211617 is a wasteful number, since it uses less digits than its factorization.

115317211617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10275157 (or 10275154 counting only the distinct ones).

The product of its digits is 8820, while the sum is 36.

The spelling of 115317211617 in words is "one hundred fifteen billion, three hundred seventeen million, two hundred eleven thousand, six hundred seventeen".