88906541584 has 135 divisors (see below), whose sum is σ = 209924280783. Its totient is φ = 36367442496.

The previous prime is 88906541557. The next prime is 88906541593. The reversal of 88906541584 is 48514560988.

It is a happy number.

The square root of 88906541584 is 298172.

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

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 192022537 + ... + 192022999.

Almost surely, 2^88906541584 is an apocalyptic number.

88906541584 is the 298172-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88906541584

88906541584 is an abundant number, since it is smaller than the sum of its proper divisors (121017739199).

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

88906541584 is an equidigital number, since it uses as much as digits as its factorization.

88906541584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 58.

The spelling of 88906541584 in words is "eighty-eight billion, nine hundred six million, five hundred forty-one thousand, five hundred eighty-four".