9117515968 has 56 divisors (see below), whose sum is σ = 19855793664. Its totient is φ = 4119456000.

The previous prime is 9117515941. The next prime is 9117516017. The reversal of 9117515968 is 8695157119.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78793 + ... + 156343.

It is an arithmetic number, because the mean of its divisors is an integer number (354567744).

Almost surely, 2^9117515968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9117515968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9927896832).

9117515968 is an abundant number, since it is smaller than the sum of its proper divisors (10738277696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9117515968 is a wasteful number, since it uses less digits than its factorization.

9117515968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77741 (or 77731 counting only the distinct ones).

The product of its digits is 680400, while the sum is 52.

The square root of 9117515968 is about 95485.6846234031. The cubic root of 9117515968 is about 2089.0981486319.

It can be divided in two parts, 911751 and 5968, that added together give a palindrome (917719).

The spelling of 9117515968 in words is "nine billion, one hundred seventeen million, five hundred fifteen thousand, nine hundred sixty-eight".