90138054562227 has 48 divisors (see below), whose sum is σ = 151845571238400. Its totient is φ = 51504229567728.

The previous prime is 90138054562217. The next prime is 90138054562307. The reversal of 90138054562227 is 72226545083109.

90138054562227 is a `hidden beast` number, since 9 + 0 + 1 + 3 + 8 + 0 + 5 + 4 + 5 + 622 + 2 + 7 = 666.

It is not a de Polignac number, because 90138054562227 - 2¹² = 90138054558131 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90138054562217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48753028 + ... + 50568110.

It is an arithmetic number, because the mean of its divisors is an integer number (3163449400800).

It is a 1-persistent number, because it is pandigital, but 2⋅90138054562227 = 180276109124454 is not.

Almost surely, 2^{90138054562227} is an apocalyptic number.

90138054562227 is a deficient number, since it is larger than the sum of its proper divisors (61707516676173).

90138054562227 is a wasteful number, since it uses less digits than its factorization.

90138054562227 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1831197 (or 1831180 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 90138054562227 in words is "ninety trillion, one hundred thirty-eight billion, fifty-four million, five hundred sixty-two thousand, two hundred twenty-seven".