89899228224 has 315 divisors, whose sum is σ = 288327032565. Its totient is φ = 26769000960.

The previous prime is 89899228207. The next prime is 89899228229. The reversal of 89899228224 is 42282299898.

The square root of 89899228224 is 299832.

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., 13298702400 + 76600525824 = 115320^2 + 276768^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (89899228229) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 2899975089 + ... + 2899975119.

Almost surely, 2^89899228224 is an apocalyptic number.

89899228224 is the 299832-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89899228224

89899228224 is an abundant number, since it is smaller than the sum of its proper divisors (198427804341).

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

89899228224 is an frugal number, since it uses more digits than its factorization.

89899228224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 49 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 63.

The spelling of 89899228224 in words is "eighty-nine billion, eight hundred ninety-nine million, two hundred twenty-eight thousand, two hundred twenty-four".