90321492096 has 512 divisors, whose sum is σ = 301304736000. Its totient is φ = 26396098560.

The previous prime is 90321492083. The next prime is 90321492097. The reversal of 90321492096 is 69029412309.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (90321492097) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 220834740 + ... + 220835148.

Almost surely, 2^90321492096 is an apocalyptic number.

90321492096 is a gapful number since it is divisible by the number (96) 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 90321492096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150652368000).

90321492096 is an abundant number, since it is smaller than the sum of its proper divisors (210983243904).

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

90321492096 is a wasteful number, since it uses less digits than its factorization.

90321492096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 90321492096 in words is "ninety billion, three hundred twenty-one million, four hundred ninety-two thousand, ninety-six".