8901584172 has 144 divisors (see below), whose sum is σ = 25311730080. Its totient is φ = 2619454464.

The previous prime is 8901584161. The next prime is 8901584243. The reversal of 8901584172 is 2714851098.

8901584172 is a `hidden beast` number, since 89 + 0 + 158 + 417 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1017288 + ... + 1026000.

Almost surely, 2^8901584172 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 8901584172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12655865040).

8901584172 is an abundant number, since it is smaller than the sum of its proper divisors (16410145908).

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

8901584172 is a wasteful number, since it uses less digits than its factorization.

8901584172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8832 (or 8827 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 8901584172 is about 94348.2070417875. The cubic root of 8901584172 is about 2072.4740480899.

The spelling of 8901584172 in words is "eight billion, nine hundred one million, five hundred eighty-four thousand, one hundred seventy-two".