90090900918 has 64 divisors (see below), whose sum is σ = 207649103040. Its totient is φ = 28929312000.

The previous prime is 90090900877. The next prime is 90090900947. The reversal of 90090900918 is 81900909009.

It is a super-3 number, since 3×90090900918³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21423 + ... + 425018.

It is an arithmetic number, because the mean of its divisors is an integer number (3244517235).

Almost surely, 2^90090900918 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90090900918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103824551520).

90090900918 is an abundant number, since it is smaller than the sum of its proper divisors (117558202122).

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

90090900918 is a wasteful number, since it uses less digits than its factorization.

90090900918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446590 (or 446584 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 45.

The spelling of 90090900918 in words is "ninety billion, ninety million, nine hundred thousand, nine hundred eighteen".