89185962844224 has 189 divisors, whose sum is σ = 261747329358879. Its totient is φ = 29034117100800.

The previous prime is 89185962844213. The next prime is 89185962844243. The reversal of 89185962844224 is 42244826958198.

The square root of 89185962844224 is 9443832.

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

89185962844224 is a `hidden beast` number, since 8 + 9 + 1 + 8 + 596 + 2 + 8 + 4 + 4 + 2 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9746030049 + ... + 9746039199.

Almost surely, 2^{89185962844224} is an apocalyptic number.

89185962844224 is the 9443832-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89185962844224

89185962844224 is an abundant number, since it is smaller than the sum of its proper divisors (172561366514655).

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

89185962844224 is an frugal number, since it uses more digits than its factorization.

89185962844224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18406 (or 9199 counting only the distinct ones).

The product of its digits is 637009920, while the sum is 72.

The spelling of 89185962844224 in words is "eighty-nine trillion, one hundred eighty-five billion, nine hundred sixty-two million, eight hundred forty-four thousand, two hundred twenty-four".