90164475076 has 27 divisors (see below), whose sum is σ = 170873808231. Its totient is φ = 41610769824.

The previous prime is 90164475013. The next prime is 90164475103. The reversal of 90164475076 is 67057446109.

The square root of 90164475076 is 300274.

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 3860136900 + 86304338176 = 62130^2 + 293776^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7801350 + ... + 7812898.

Almost surely, 2^90164475076 is an apocalyptic number.

90164475076 is the 300274-th square number.

It is an amenable number.

90164475076 is a deficient number, since it is larger than the sum of its proper divisors (80709333155).

90164475076 is an equidigital number, since it uses as much as digits as its factorization.

90164475076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23128 (or 11564 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 49.

Multiplying 90164475076 by its sum of digits (49), we get a square (4418059278724 = 2101918²).

The spelling of 90164475076 in words is "ninety billion, one hundred sixty-four million, four hundred seventy-five thousand, seventy-six".