90330979330304 has 144 divisors (see below), whose sum is σ = 196015325587200. Its totient is φ = 41407419727872.

The previous prime is 90330979330237. The next prime is 90330979330307. The reversal of 90330979330304 is 40303397903309.

It is not an unprimeable number, because it can be changed into a prime (90330979330307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18126254 + ... + 22565970.

It is an arithmetic number, because the mean of its divisors is an integer number (1361217538800).

Almost surely, 2^{90330979330304} is an apocalyptic number.

90330979330304 is a gapful number since it is divisible by the number (94) 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 90330979330304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98007662793600).

90330979330304 is an abundant number, since it is smaller than the sum of its proper divisors (105684346256896).

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

90330979330304 is a wasteful number, since it uses less digits than its factorization.

90330979330304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4439888 (or 4439874 counting only the distinct ones).

The product of its (nonzero) digits is 4960116, while the sum is 53.

The spelling of 90330979330304 in words is "ninety trillion, three hundred thirty billion, nine hundred seventy-nine million, three hundred thirty thousand, three hundred four".