22744439857152 has 280 divisors, whose sum is σ = 73175202471756. Its totient is φ = 6998286532608.

The previous prime is 22744439857151. The next prime is 22744439857177. The reversal of 22744439857152 is 25175893444722.

22744439857152 is a `hidden beast` number, since 2 + 2 + 7 + 4 + 4 + 4 + 3 + 9 + 8 + 571 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22685635547136 + 58804310016 = 4762944^2 + 242496^2 .

It is a super-2 number, since 2×22744439857152² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22744439857152.

It is not an unprimeable number, because it can be changed into a prime (22744439857151) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7307838 + ... + 9944514.

Almost surely, 2^{22744439857152} 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 22744439857152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36587601235878).

22744439857152 is an abundant number, since it is smaller than the sum of its proper divisors (50430762614604).

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

22744439857152 is an equidigital number, since it uses as much as digits as its factorization.

22744439857152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2636728 (or 2636695 counting only the distinct ones).

The product of its digits is 135475200, while the sum is 63.

The spelling of 22744439857152 in words is "twenty-two trillion, seven hundred forty-four billion, four hundred thirty-nine million, eight hundred fifty-seven thousand, one hundred fifty-two".