22840363436800 has 864 divisors, whose sum is σ = 76213965744000. Its totient is φ = 6568704737280.

The previous prime is 22840363436791. The next prime is 22840363436801. The reversal of 22840363436800 is 863436304822.

It is a super-2 number, since 2×22840363436800² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22840363436801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 287083426 + ... + 287162974.

It is an arithmetic number, because the mean of its divisors is an integer number (88210608500).

Almost surely, 2^{22840363436800} is an apocalyptic number.

22840363436800 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 22840363436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38106982872000).

22840363436800 is an abundant number, since it is smaller than the sum of its proper divisors (53373602307200).

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

22840363436800 is a wasteful number, since it uses less digits than its factorization.

22840363436800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79641 (or 79622 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 49.

The spelling of 22840363436800 in words is "twenty-two trillion, eight hundred forty billion, three hundred sixty-three million, four hundred thirty-six thousand, eight hundred".