89442864900 has 135 divisors (see below), whose sum is σ = 290025710821. Its totient is φ = 23844252960.

The previous prime is 89442864829. The next prime is 89442864923. The reversal of 89442864900 is 946824498.

The square root of 89442864900 is 299070.

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

89442864900 is a `hidden beast` number, since 89 + 442 + 86 + 49 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32199431364 + 57243433536 = 179442^2 + 239256^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 26914639 + ... + 26917961.

Almost surely, 2^89442864900 is an apocalyptic number.

89442864900 is the 299070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89442864900

89442864900 is an abundant number, since it is smaller than the sum of its proper divisors (200582845921).

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

89442864900 is an equidigital number, since it uses as much as digits as its factorization.

89442864900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6672 (or 3333 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 89442864900 in words is "eighty-nine billion, four hundred forty-two million, eight hundred sixty-four thousand, nine hundred".