9917164032 has 160 divisors (see below), whose sum is σ = 27025270272. Its totient is φ = 3230920704.

The previous prime is 9917163967. The next prime is 9917164069. The reversal of 9917164032 is 2304617199.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13640853 + ... + 13641579.

Almost surely, 2^9917164032 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 9917164032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13512635136).

9917164032 is an abundant number, since it is smaller than the sum of its proper divisors (17108106240).

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

9917164032 is a wasteful number, since it uses less digits than its factorization.

9917164032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 9917164032 is about 99584.9588642783. The cubic root of 9917164032 is about 2148.4693653689.

The spelling of 9917164032 in words is "nine billion, nine hundred seventeen million, one hundred sixty-four thousand, thirty-two".