90944464900 has 81 divisors (see below), whose sum is σ = 201497444701. Its totient is φ = 35628686080.

The previous prime is 90944464879. The next prime is 90944464939. The reversal of 90944464900 is 946444909.

The square root of 90944464900 is 301570.

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 69661156356 + 21283308544 = 263934^2 + 145888^2 .

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, 159831816 + ... + 159832384.

Almost surely, 2^90944464900 is an apocalyptic number.

90944464900 is the 301570-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90944464900

90944464900 is an abundant number, since it is smaller than the sum of its proper divisors (110552979801).

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

90944464900 is an equidigital number, since it uses as much as digits as its factorization.

90944464900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 49.

Multiplying 90944464900 by its sum of digits (49), we get a square (4456278780100 = 2110990²).

The spelling of 90944464900 in words is "ninety billion, nine hundred forty-four million, four hundred sixty-four thousand, nine hundred".