90000111111001 has 48 divisors (see below), whose sum is σ = 113517133506000. Its totient is φ = 70722836577792.

The previous prime is 90000111110999. The next prime is 90000111111041. The reversal of 90000111111001 is 10011111100009.

It can be written as a sum of positive squares in 8 ways, for example, as 41356474810000 + 48643636301001 = 6430900^2 + 6974499^2 .

It is not a de Polignac number, because 90000111111001 - 2¹ = 90000111110999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90000111111041) 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 47 ways as a sum of consecutive naturals, for example, 904755895 + ... + 904855363.

It is an arithmetic number, because the mean of its divisors is an integer number (2364940281375).

Almost surely, 2^{90000111111001} is an apocalyptic number.

90000111111001 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

90000111111001 is a deficient number, since it is larger than the sum of its proper divisors (23517022394999).

90000111111001 is a wasteful number, since it uses less digits than its factorization.

90000111111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109178 (or 109171 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 16.

The spelling of 90000111111001 in words is "ninety trillion, one hundred eleven million, one hundred eleven thousand, one".