90094504079601 has 96 divisors (see below), whose sum is σ = 159146042744832. Its totient is φ = 47995086142080.

The previous prime is 90094504079563. The next prime is 90094504079651. The reversal of 90094504079601 is 10697040549009.

It is a happy number.

90094504079601 is a `hidden beast` number, since 9 + 0 + 0 + 9 + 4 + 504 + 0 + 79 + 60 + 1 = 666.

It is not a de Polignac number, because 90094504079601 - 2³³ = 90085914145009 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (90094504079651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27286611 + ... + 30409671.

It is an arithmetic number, because the mean of its divisors is an integer number (1657771278592).

Almost surely, 2^{90094504079601} is an apocalyptic number.

It is an amenable number.

90094504079601 is a deficient number, since it is larger than the sum of its proper divisors (69051538665231).

90094504079601 is a wasteful number, since it uses less digits than its factorization.

90094504079601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3123603 (or 3123600 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 90094504079601 in words is "ninety trillion, ninety-four billion, five hundred four million, seventy-nine thousand, six hundred one".