90008911104 has 144 divisors (see below), whose sum is σ = 275592683520. Its totient is φ = 25546291200.

The previous prime is 90008911099. The next prime is 90008911121. The reversal of 90008911104 is 40111980009.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 756337 + ... + 867215.

It is an arithmetic number, because the mean of its divisors is an integer number (1913838080).

Almost surely, 2^90008911104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90008911104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137796341760).

90008911104 is an abundant number, since it is smaller than the sum of its proper divisors (185583772416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90008911104 is a wasteful number, since it uses less digits than its factorization.

90008911104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111056 (or 111042 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 33.

The spelling of 90008911104 in words is "ninety billion, eight million, nine hundred eleven thousand, one hundred four".