21830443964544 has 256 divisors, whose sum is σ = 63285790003200. Its totient is φ = 6642037739520.

The previous prime is 21830443964533. The next prime is 21830443964561. The reversal of 21830443964544 is 44546934403812.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 51129354 + ... + 51554550.

It is an arithmetic number, because the mean of its divisors is an integer number (247210117200).

Almost surely, 2^{21830443964544} is an apocalyptic number.

21830443964544 is a gapful number since it is divisible by the number (24) 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 21830443964544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31642895001600).

21830443964544 is an abundant number, since it is smaller than the sum of its proper divisors (41455346038656).

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

21830443964544 is a wasteful number, since it uses less digits than its factorization.

21830443964544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425491 (or 425479 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 57.

The spelling of 21830443964544 in words is "twenty-one trillion, eight hundred thirty billion, four hundred forty-three million, nine hundred sixty-four thousand, five hundred forty-four".