22972045824 has 480 divisors, whose sum is σ = 84662497920. Its totient is φ = 6055575552.

The previous prime is 22972045793. The next prime is 22972045829. The reversal of 22972045824 is 42854027922.

It is a self number, because there is not a number n which added to its sum of digits gives 22972045824.

It is not an unprimeable number, because it can be changed into a prime (22972045829) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11320842 + ... + 11322870.

It is an arithmetic number, because the mean of its divisors is an integer number (176380204).

Almost surely, 2^22972045824 is an apocalyptic number.

22972045824 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 22972045824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42331248960).

22972045824 is an abundant number, since it is smaller than the sum of its proper divisors (61690452096).

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

22972045824 is an equidigital number, since it uses as much as digits as its factorization.

22972045824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082 (or 2054 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 22972045824 in words is "twenty-two billion, nine hundred seventy-two million, forty-five thousand, eight hundred twenty-four".