90017075000041 has 16 divisors (see below), whose sum is σ = 107858320985088. Its totient is φ = 73453042832400.

The previous prime is 90017074999981. The next prime is 90017075000053. The reversal of 90017075000041 is 14000057071009.

It is a de Polignac number, because none of the positive numbers 2^k-90017075000041 is a prime.

It is a pancake number, because a pancake can be divided into 90017075000041 parts by 13417680 straight cuts.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 90017074999970 and 90017075000006.

It is not an unprimeable number, because it can be changed into a prime (90017075009041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1324876615 + ... + 1324944556.

It is an arithmetic number, because the mean of its divisors is an integer number (6741145061568).

Almost surely, 2^{90017075000041} is an apocalyptic number.

It is an amenable number.

90017075000041 is a deficient number, since it is larger than the sum of its proper divisors (17841245985047).

90017075000041 is a wasteful number, since it uses less digits than its factorization.

90017075000041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2649821412.

The product of its (nonzero) digits is 8820, while the sum is 34.

The spelling of 90017075000041 in words is "ninety trillion, seventeen billion, seventy-five million, forty-one", and thus it is an aban number and an uban number.