8914832160 has 384 divisors, whose sum is σ = 31274449920. Its totient is φ = 2120810496.

The previous prime is 8914832153. The next prime is 8914832189. The reversal of 8914832160 is 612384198.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33140506 + ... + 33140774.

It is an arithmetic number, because the mean of its divisors is an integer number (81443880).

Almost surely, 2^8914832160 is an apocalyptic number.

8914832160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8914832160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15637224960).

8914832160 is an abundant number, since it is smaller than the sum of its proper divisors (22359617760).

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

8914832160 is a wasteful number, since it uses less digits than its factorization.

8914832160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 8914832160 is about 94418.3888869112. The cubic root of 8914832160 is about 2073.5016742333.

The spelling of 8914832160 in words is "eight billion, nine hundred fourteen million, eight hundred thirty-two thousand, one hundred sixty".