10090314458532 has 1152 divisors, whose sum is σ = 36827733196800. Its totient is φ = 2351299104000.

The previous prime is 10090314458527. The next prime is 10090314458533. The reversal of 10090314458532 is 23585441309001.

10090314458532 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 0 + 31 + 4 + 4 + 585 + 32 = 666.

It is not an unprimeable number, because it can be changed into a prime (10090314458533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2620178407 + ... + 2620182257.

It is an arithmetic number, because the mean of its divisors is an integer number (31968518400).

Almost surely, 2^{10090314458532} is an apocalyptic number.

10090314458532 is a gapful number since it is divisible by the number (12) 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 10090314458532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18413866598400).

10090314458532 is an abundant number, since it is smaller than the sum of its proper divisors (26737418738268).

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

10090314458532 is a wasteful number, since it uses less digits than its factorization.

10090314458532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4034 (or 4019 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 10090314458532 in words is "ten trillion, ninety billion, three hundred fourteen million, four hundred fifty-eight thousand, five hundred thirty-two".