90983295936 has 168 divisors, whose sum is σ = 284005416240. Its totient is φ = 27680108544.

The previous prime is 90983295869. The next prime is 90983295959. The reversal of 90983295936 is 63959238909.

90983295936 is a `hidden beast` number, since 9 + 0 + 9 + 8 + 32 + 9 + 593 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 598171 + ... + 734693.

It is an arithmetic number, because the mean of its divisors is an integer number (1690508430).

Almost surely, 2^90983295936 is an apocalyptic number.

90983295936 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 90983295936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142002708120).

90983295936 is an abundant number, since it is smaller than the sum of its proper divisors (193022120304).

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

90983295936 is a wasteful number, since it uses less digits than its factorization.

90983295936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136643 (or 136630 counting only the distinct ones).

The product of its (nonzero) digits is 28343520, while the sum is 63.

The spelling of 90983295936 in words is "ninety billion, nine hundred eighty-three million, two hundred ninety-five thousand, nine hundred thirty-six".