22868395105824 has 240 divisors, whose sum is σ = 70204917404160. Its totient is φ = 7294012830720.

The previous prime is 22868395105811. The next prime is 22868395105841. The reversal of 22868395105824 is 42850159386822.

It is a happy number.

22868395105824 is a `hidden beast` number, since 2 + 2 + 8 + 6 + 8 + 39 + 5 + 10 + 582 + 4 = 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 39 ways as a sum of consecutive naturals, for example, 5552437 + ... + 8750219.

It is an arithmetic number, because the mean of its divisors is an integer number (292520489184).

Almost surely, 2^{22868395105824} is an apocalyptic number.

22868395105824 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 22868395105824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35102458702080).

22868395105824 is an abundant number, since it is smaller than the sum of its proper divisors (47336522298336).

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

22868395105824 is a wasteful number, since it uses less digits than its factorization.

22868395105824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3197925 (or 3197908 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 22868395105824 in words is "twenty-two trillion, eight hundred sixty-eight billion, three hundred ninety-five million, one hundred five thousand, eight hundred twenty-four".