21874805946432 has 560 divisors, whose sum is σ = 70310058698880. Its totient is φ = 6701891788800.

The previous prime is 21874805946359. The next prime is 21874805946449. The reversal of 21874805946432 is 23464950847812.

21874805946432 is a `hidden beast` number, since 2 + 1 + 8 + 7 + 4 + 8 + 0 + 594 + 6 + 4 + 32 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 21874805946432.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 730923853 + ... + 730953779.

It is an arithmetic number, because the mean of its divisors is an integer number (125553676248).

It is a 1-persistent number, because it is pandigital, but 2⋅21874805946432 = 43749611892864 is not.

Almost surely, 2^{21874805946432} 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 21874805946432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35155029349440).

21874805946432 is an abundant number, since it is smaller than the sum of its proper divisors (48435252752448).

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

21874805946432 is a wasteful number, since it uses less digits than its factorization.

21874805946432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30192 (or 30173 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 21874805946432 in words is "twenty-one trillion, eight hundred seventy-four billion, eight hundred five million, nine hundred forty-six thousand, four hundred thirty-two".