90493435296 has 432 divisors, whose sum is σ = 300965359968. Its totient is φ = 25569561600.

The previous prime is 90493435259. The next prime is 90493435303. The reversal of 90493435296 is 69253439409.

90493435296 is a `hidden beast` number, since 9 + 0 + 4 + 9 + 343 + 5 + 296 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 76623826 + ... + 76625006.

It is an arithmetic number, because the mean of its divisors is an integer number (696679074).

Almost surely, 2^90493435296 is an apocalyptic number.

90493435296 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 90493435296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150482679984).

90493435296 is an abundant number, since it is smaller than the sum of its proper divisors (210471924672).

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

90493435296 is a wasteful number, since it uses less digits than its factorization.

90493435296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 90493435296 in words is "ninety billion, four hundred ninety-three million, four hundred thirty-five thousand, two hundred ninety-six".