22442311324422 has 192 divisors, whose sum is σ = 55325397703680. Its totient is φ = 6516033216000.

The previous prime is 22442311324399. The next prime is 22442311324423.

22442311324422 is a `hidden beast` number, since 22 + 44 + 23 + 1 + 132 + 442 + 2 = 666.

22442311324422 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22442311324423) 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, 83517493 + ... + 83785775.

It is an arithmetic number, because the mean of its divisors is an integer number (288153113040).

Almost surely, 2^{22442311324422} is an apocalyptic number.

22442311324422 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22442311324422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27662698851840).

22442311324422 is an abundant number, since it is smaller than the sum of its proper divisors (32883086379258).

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

22442311324422 is a wasteful number, since it uses less digits than its factorization.

22442311324422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268539 (or 268536 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

It can be divided in two parts, 2244231 and 1324422, that added together give a palindrome (3568653).

The spelling of 22442311324422 in words is "twenty-two trillion, four hundred forty-two billion, three hundred eleven million, three hundred twenty-four thousand, four hundred twenty-two".