89214521344 has 117 divisors (see below), whose sum is σ = 193726184673. Its totient is φ = 41061236736.

The previous prime is 89214521339. The next prime is 89214521351. The reversal of 89214521344 is 44312541298.

The square root of 89214521344 is 298688.

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

It can be written as a sum of positive squares in only one way, i.e., 13197414400 + 76017106944 = 114880^2 + 275712^2 .

It is a Duffinian number.

Its product of digits (276480) is a multiple of the sum of its prime factors (768).

It is a self number, because there is not a number n which added to its sum of digits gives 89214521344.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 248508237 + ... + 248508595.

Almost surely, 2^89214521344 is an apocalyptic number.

89214521344 is the 298688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89214521344

89214521344 is an abundant number, since it is smaller than the sum of its proper divisors (104511663329).

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

89214521344 is an frugal number, since it uses more digits than its factorization.

89214521344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 374 counting only the distinct ones).

The product of its digits is 276480, while the sum is 43.

The spelling of 89214521344 in words is "eighty-nine billion, two hundred fourteen million, five hundred twenty-one thousand, three hundred forty-four".