89742184900 has 81 divisors (see below), whose sum is σ = 201882723861. Its totient is φ = 34625498880.

The previous prime is 89742184897. The next prime is 89742184949. The reversal of 89742184900 is 948124798.

It is a happy number.

The square root of 89742184900 is 299570.

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

It can be written as a sum of positive squares in 13 ways, for example, as 8065117636 + 81677067264 = 89806^2 + 285792^2 .

It is a Duffinian number.

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, 86874784 + ... + 86875816.

Almost surely, 2^89742184900 is an apocalyptic number.

89742184900 is the 299570-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89742184900

89742184900 is an abundant number, since it is smaller than the sum of its proper divisors (112140538961).

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

89742184900 is a wasteful number, since it uses less digits than its factorization.

89742184900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 52.

The spelling of 89742184900 in words is "eighty-nine billion, seven hundred forty-two million, one hundred eighty-four thousand, nine hundred".