22444218720 has 1536 divisors, whose sum is σ = 107122176000. Its totient is φ = 4389396480.

The previous prime is 22444218707. The next prime is 22444218721. The reversal of 22444218720 is 2781244422.

22444218720 is a `hidden beast` number, since 224 + 4 + 421 + 8 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22444218721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1320248152 + ... + 1320248168.

It is an arithmetic number, because the mean of its divisors is an integer number (69741000).

Almost surely, 2^22444218720 is an apocalyptic number.

22444218720 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 22444218720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53561088000).

22444218720 is an abundant number, since it is smaller than the sum of its proper divisors (84677957280).

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

22444218720 is an equidigital number, since it uses as much as digits as its factorization.

22444218720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The spelling of 22444218720 in words is "twenty-two billion, four hundred forty-four million, two hundred eighteen thousand, seven hundred twenty".