22836844800 has 1296 divisors, whose sum is σ = 107546449920. Its totient is φ = 4478976000.

The previous prime is 22836844799. The next prime is 22836844801. The reversal of 22836844800 is 844863822.

It is an interprime number because it is at equal distance from previous prime (22836844799) and next prime (22836844801).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (22836844801) 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 143 ways as a sum of consecutive naturals, for example, 84268665 + ... + 84268935.

Almost surely, 2^22836844800 is an apocalyptic number.

22836844800 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 22836844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53773224960).

22836844800 is an abundant number, since it is smaller than the sum of its proper divisors (84709605120).

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

22836844800 is a wasteful number, since it uses less digits than its factorization.

22836844800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 22836844800 in words is "twenty-two billion, eight hundred thirty-six million, eight hundred forty-four thousand, eight hundred".