90461266400025 has 60 divisors (see below), whose sum is σ = 167686877494444. Its totient is φ = 48211071696000.

The previous prime is 90461266400017. The next prime is 90461266400039. The reversal of 90461266400025 is 52000466216409.

90461266400025 is a `hidden beast` number, since 9 + 0 + 4 + 612 + 6 + 6 + 4 + 0 + 0 + 0 + 25 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3879060238089 + 86582206161936 = 1969533^2 + 9304956^2 .

It is not a de Polignac number, because 90461266400025 - 2³ = 90461266400017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13377346 + ... + 18970395.

Almost surely, 2^{90461266400025} is an apocalyptic number.

It is an amenable number.

90461266400025 is a deficient number, since it is larger than the sum of its proper divisors (77225611094419).

90461266400025 is a wasteful number, since it uses less digits than its factorization.

90461266400025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32349144 (or 32349130 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 90461266400025 in words is "ninety trillion, four hundred sixty-one billion, two hundred sixty-six million, four hundred thousand, twenty-five".