90249290208 has 672 divisors, whose sum is σ = 339513431040. Its totient is φ = 22921159680.

The previous prime is 90249290147. The next prime is 90249290213. The reversal of 90249290208 is 80209294209.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 84423498 + ... + 84424566.

It is an arithmetic number, because the mean of its divisors is an integer number (505228320).

Almost surely, 2^90249290208 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 90249290208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169756715520).

90249290208 is an abundant number, since it is smaller than the sum of its proper divisors (249264140832).

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

90249290208 is a wasteful number, since it uses less digits than its factorization.

90249290208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 90249290208 in words is "ninety billion, two hundred forty-nine million, two hundred ninety thousand, two hundred eight".