22544363304960 has 768 divisors, whose sum is σ = 86067805824000. Its totient is φ = 5033059024896.

The previous prime is 22544363304959. The next prime is 22544363304973. The reversal of 22544363304960 is 6940336344522.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 453064402 + ... + 453114158.

It is an arithmetic number, because the mean of its divisors is an integer number (112067455500).

Almost surely, 2^{22544363304960} is an apocalyptic number.

22544363304960 is a gapful number since it is divisible by the number (20) 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 22544363304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43033902912000).

22544363304960 is an abundant number, since it is smaller than the sum of its proper divisors (63523442519040).

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

22544363304960 is an equidigital number, since it uses as much as digits as its factorization.

22544363304960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49851 (or 49817 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 51.

The spelling of 22544363304960 in words is "twenty-two trillion, five hundred forty-four billion, three hundred sixty-three million, three hundred four thousand, nine hundred sixty".