21452944990608 has 480 divisors, whose sum is σ = 67205044887552. Its totient is φ = 6356244787200.

The previous prime is 21452944990567. The next prime is 21452944990637. The reversal of 21452944990608 is 80609944925412.

21452944990608 is a `hidden beast` number, since 2 + 1 + 4 + 52 + 94 + 499 + 0 + 6 + 0 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5243934643 + ... + 5243938733.

Almost surely, 2^{21452944990608} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21452944990608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33602522443776).

21452944990608 is an abundant number, since it is smaller than the sum of its proper divisors (45752099896944).

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

21452944990608 is a wasteful number, since it uses less digits than its factorization.

21452944990608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5803 (or 5794 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 21452944990608 in words is "twenty-one trillion, four hundred fifty-two billion, nine hundred forty-four million, nine hundred ninety thousand, six hundred eight".