90445292534529 has 135 divisors (see below), whose sum is σ = 141564481235859. Its totient is φ = 57545520690240.

The previous prime is 90445292534491. The next prime is 90445292534551. The reversal of 90445292534529 is 92543529254409.

The square root of 90445292534529 is 9510273.

It is a perfect power (a square), and thus also a powerful number.

90445292534529 is a `hidden beast` number, since 9 + 0 + 4 + 4 + 5 + 2 + 92 + 534 + 5 + 2 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17367414460929 + 73077878073600 = 4167423^2 + 8548560^2 .

It is not a de Polignac number, because 90445292534529 - 2²⁹ = 90444755663617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90445292534329) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 236149588672 + ... + 236149589054.

Almost surely, 2^{90445292534529} is an apocalyptic number.

90445292534529 is the 9510273-rd square number.

90445292534529 is the 4755137-th centered octagonal number.

It is an amenable number.

90445292534529 is a deficient number, since it is larger than the sum of its proper divisors (51119188701330).

90445292534529 is an frugal number, since it uses more digits than its factorization.

90445292534529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 139968000, while the sum is 63.

The spelling of 90445292534529 in words is "ninety trillion, four hundred forty-five billion, two hundred ninety-two million, five hundred thirty-four thousand, five hundred twenty-nine".