90264445064901 has 12 divisors (see below), whose sum is σ = 130399785612460. Its totient is φ = 60168076983360.

The previous prime is 90264445064879. The next prime is 90264445064903. The reversal of 90264445064901 is 10946054446209.

90264445064901 is a `hidden beast` number, since 9 + 0 + 2 + 6 + 4 + 44 + 506 + 4 + 90 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 74665016001 + 90189780048900 = 273249^2 + 9496830^2 .

It is not a de Polignac number, because 90264445064901 - 2⁶ = 90264445064837 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90264445064903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 684907666 + ... + 685039443.

Almost surely, 2^{90264445064901} is an apocalyptic number.

It is an amenable number.

90264445064901 is a deficient number, since it is larger than the sum of its proper divisors (40135340547559).

90264445064901 is a wasteful number, since it uses less digits than its factorization.

90264445064901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369954436 (or 1369954433 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 90264445064901 in words is "ninety trillion, two hundred sixty-four billion, four hundred forty-five million, sixty-four thousand, nine hundred one".