90049853161 has 32 divisors (see below), whose sum is σ = 98085150720. Its totient is φ = 82464782400.

The previous prime is 90049853143. The next prime is 90049853171. The reversal of 90049853161 is 16135894009.

It is a cyclic number.

It is not a de Polignac number, because 90049853161 - 2⁹ = 90049852649 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90049853171) 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 31 ways as a sum of consecutive naturals, for example, 7863706 + ... + 7875148.

It is an arithmetic number, because the mean of its divisors is an integer number (3065160960).

Almost surely, 2^90049853161 is an apocalyptic number.

It is an amenable number.

90049853161 is a deficient number, since it is larger than the sum of its proper divisors (8035297559).

90049853161 is a wasteful number, since it uses less digits than its factorization.

90049853161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11677.

The product of its (nonzero) digits is 233280, while the sum is 46.

The spelling of 90049853161 in words is "ninety billion, forty-nine million, eight hundred fifty-three thousand, one hundred sixty-one".