90495078976 has 63 divisors (see below), whose sum is σ = 185708914713. Its totient is φ = 43751842560.

The previous prime is 90495078959. The next prime is 90495079027. The reversal of 90495078976 is 67987059409.

The square root of 90495078976 is 300824.

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., 3691777600 + 86803301376 = 60760^2 + 294624^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 74603746 + ... + 74604958.

It is an arithmetic number, because the mean of its divisors is an integer number (2947760551).

Almost surely, 2^90495078976 is an apocalyptic number.

90495078976 is the 300824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90495078976

90495078976 is an abundant number, since it is smaller than the sum of its proper divisors (95213835737).

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

90495078976 is an frugal number, since it uses more digits than its factorization.

90495078976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2500 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 64.

Multiplying 90495078976 by its sum of digits (64), we get a square (5791685054464 = 2406592²).

90495078976 divided by its sum of digits (64) gives a square (1413985609 = 37603²).

The spelling of 90495078976 in words is "ninety billion, four hundred ninety-five million, seventy-eight thousand, nine hundred seventy-six".