90983402496 has 352 divisors, whose sum is σ = 309121236480. Its totient is φ = 25895780352.

The previous prime is 90983402479. The next prime is 90983402509. The reversal of 90983402496 is 69420438909.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61350171 + ... + 61351653.

Almost surely, 2^90983402496 is an apocalyptic number.

90983402496 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 90983402496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154560618240).

90983402496 is an abundant number, since it is smaller than the sum of its proper divisors (218137833984).

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

90983402496 is a wasteful number, since it uses less digits than its factorization.

90983402496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1836 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 90983402496 in words is "ninety billion, nine hundred eighty-three million, four hundred two thousand, four hundred ninety-six".