90384379008 has 256 divisors, whose sum is σ = 300300272640. Its totient is φ = 23399976960.

The previous prime is 90384378989. The next prime is 90384379073. The reversal of 90384379008 is 80097348309.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9368235 + ... + 9377877.

It is an arithmetic number, because the mean of its divisors is an integer number (1173047940).

Almost surely, 2^90384379008 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 90384379008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150150136320).

90384379008 is an abundant number, since it is smaller than the sum of its proper divisors (209915893632).

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

90384379008 is a wasteful number, since it uses less digits than its factorization.

90384379008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9995 (or 9983 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 90384379008 in words is "ninety billion, three hundred eighty-four million, three hundred seventy-nine thousand, eight".