90042184008 has 256 divisors, whose sum is σ = 296640000000. Its totient is φ = 25289070912.

The previous prime is 90042183971. The next prime is 90042184027. The reversal of 90042184008 is 80048124009.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4360893 + ... + 4381491.

It is an arithmetic number, because the mean of its divisors is an integer number (1158750000).

Almost surely, 2^90042184008 is an apocalyptic number.

90042184008 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90042184008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148320000000).

90042184008 is an abundant number, since it is smaller than the sum of its proper divisors (206597815992).

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

90042184008 is a wasteful number, since it uses less digits than its factorization.

90042184008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20694 (or 20670 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 90042184008 in words is "ninety billion, forty-two million, one hundred eighty-four thousand, eight".