8985523264 has 105 divisors (see below), whose sum is σ = 19418394361. Its totient is φ = 4125347840.

The previous prime is 8985523249. The next prime is 8985523303. The reversal of 8985523264 is 4623255898.

The square root of 8985523264 is 94792.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 4252083264 + 4733440000 = 65208^2 + 68800^2 .

It is a Duffinian number.

Its product of digits (4147200) is a multiple of the sum of its prime divisors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 219159084 + ... + 219159124.

Almost surely, 2^8985523264 is an apocalyptic number.

8985523264 is the 94792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8985523264

8985523264 is an abundant number, since it is smaller than the sum of its proper divisors (10432871097).

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

8985523264 is an frugal number, since it uses more digits than its factorization.

8985523264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 60 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 52.

The cubic root of 8985523264 is about 2078.9679347347.

The spelling of 8985523264 in words is "eight billion, nine hundred eighty-five million, five hundred twenty-three thousand, two hundred sixty-four".