90211323904 has 195 divisors, whose sum is σ = 206197473633. Its totient is φ = 39444627456.

The previous prime is 90211323889. The next prime is 90211323911. The reversal of 90211323904 is 40932311209.

The square root of 90211323904 is 300352.

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., 13344870400 + 76866453504 = 115520^2 + 277248^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 90211323904.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4747964407 + ... + 4747964425.

Almost surely, 2^90211323904 is an apocalyptic number.

90211323904 is the 300352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90211323904

90211323904 is an abundant number, since it is smaller than the sum of its proper divisors (115986149729).

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

90211323904 is an frugal number, since it uses more digits than its factorization.

90211323904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The spelling of 90211323904 in words is "ninety billion, two hundred eleven million, three hundred twenty-three thousand, nine hundred four".