22400851968 has 588 divisors, whose sum is σ = 76210570464. Its totient is φ = 6569164800.

The previous prime is 22400851961. The next prime is 22400851981. The reversal of 22400851968 is 86915800422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22400851961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 722608113 + ... + 722608143.

Almost surely, 2^22400851968 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 22400851968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38105285232).

22400851968 is an abundant number, since it is smaller than the sum of its proper divisors (53809718496).

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

22400851968 is an frugal number, since it uses more digits than its factorization.

22400851968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 22400851968 in words is "twenty-two billion, four hundred million, eight hundred fifty-one thousand, nine hundred sixty-eight".