90000000000001 has 16 divisors (see below), whose sum is σ = 111844660205824. Its totient is φ = 70517443713984.

The previous prime is 89999999999993. The next prime is 90000000000077. The reversal of 90000000000001 is 10000000000009.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 90000000000001 - 2³ = 89999999999993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90000000000101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4801014846 + ... + 4801033591.

It is an arithmetic number, because the mean of its divisors is an integer number (6990291262864).

Almost surely, 2^{90000000000001} is an apocalyptic number.

90000000000001 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

90000000000001 is a deficient number, since it is larger than the sum of its proper divisors (21844660205823).

90000000000001 is a wasteful number, since it uses less digits than its factorization.

90000000000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9602048560.

The product of its (nonzero) digits is 9, while the sum is 10.

The spelling of 90000000000001 in words is "ninety trillion, one", and thus it is an aban number and an uban number.