90094722846976 has 81 divisors (see below), whose sum is σ = 188003781932869. Its totient is φ = 43087109931008.

The previous prime is 90094722846889. The next prime is 90094722846983. The reversal of 90094722846976 is 67964822749009.

The square root of 90094722846976 is 9491824.

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., 6588462240000 + 83506260606976 = 2566800^2 + 9138176^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 90094722846899 and 90094722846908.

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, 3492978336 + ... + 3493004128.

Almost surely, 2^{90094722846976} is an apocalyptic number.

90094722846976 is the 9491824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90094722846976

90094722846976 is an abundant number, since it is smaller than the sum of its proper divisors (97909059085893).

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

90094722846976 is an frugal number, since it uses more digits than its factorization.

90094722846976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51648 (or 25818 counting only the distinct ones).

The product of its (nonzero) digits is 658409472, while the sum is 73.

The spelling of 90094722846976 in words is "ninety trillion, ninety-four billion, seven hundred twenty-two million, eight hundred forty-six thousand, nine hundred seventy-six".