22417008768 has 256 divisors, whose sum is σ = 82487808000. Its totient is φ = 5822530560.

The previous prime is 22417008763. The next prime is 22417008793. The reversal of 22417008768 is 86780071422.

It is not an unprimeable number, because it can be changed into a prime (22417008763) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 223993 + ... + 308231.

It is an arithmetic number, because the mean of its divisors is an integer number (322218000).

Almost surely, 2^22417008768 is an apocalyptic number.

22417008768 is a gapful number since it is divisible by the number (28) 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 22417008768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41243904000).

22417008768 is an abundant number, since it is smaller than the sum of its proper divisors (60070799232).

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

22417008768 is a wasteful number, since it uses less digits than its factorization.

22417008768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84280 (or 84262 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 22417008768 in words is "twenty-two billion, four hundred seventeen million, eight thousand, seven hundred sixty-eight".