90578125444 has 27 divisors (see below), whose sum is σ = 164197764367. Its totient is φ = 43718943968.

The previous prime is 90578125427. The next prime is 90578125453. The reversal of 90578125444 is 44452187509.

The square root of 90578125444 is 300962.

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

It can be written as a sum of positive squares in 4 ways, for example, as 9694765444 + 80883360000 = 98462^2 + 284400^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17453202 + ... + 17458390.

Almost surely, 2^90578125444 is an apocalyptic number.

90578125444 is the 300962-nd square number.

It is an amenable number.

90578125444 is a deficient number, since it is larger than the sum of its proper divisors (73619638923).

90578125444 is an frugal number, since it uses more digits than its factorization.

90578125444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10440 (or 5220 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 49.

Multiplying 90578125444 by its sum of digits (49), we get a square (4438328146756 = 2106734²).

It can be divided in two parts, 905781 and 25444, that added together give a square (931225 = 965²).

The spelling of 90578125444 in words is "ninety billion, five hundred seventy-eight million, one hundred twenty-five thousand, four hundred forty-four".