90131772910545 has 24 divisors (see below), whose sum is σ = 158205981148800. Its totient is φ = 47461794340896.

The previous prime is 90131772910537. The next prime is 90131772910547. The reversal of 90131772910545 is 54501927713109.

90131772910545 is a `hidden beast` number, since 9 + 0 + 1 + 3 + 1 + 7 + 7 + 2 + 91 + 0 + 545 = 666.

It is not a de Polignac number, because 90131772910545 - 2³ = 90131772910537 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 90131772910491 and 90131772910500.

It is not an unprimeable number, because it can be changed into a prime (90131772910547) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12676757755 + ... + 12676764864.

It is an arithmetic number, because the mean of its divisors is an integer number (6591915881200).

Almost surely, 2^{90131772910545} is an apocalyptic number.

It is an amenable number.

90131772910545 is a deficient number, since it is larger than the sum of its proper divisors (68074208238255).

90131772910545 is a wasteful number, since it uses less digits than its factorization.

90131772910545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25353522709 (or 25353522706 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 54.

The spelling of 90131772910545 in words is "ninety trillion, one hundred thirty-one billion, seven hundred seventy-two million, nine hundred ten thousand, five hundred forty-five".