22322164390344 has 448 divisors, whose sum is σ = 77696485251840. Its totient is φ = 5851888519680.

The previous prime is 22322164390303. The next prime is 22322164390349. The reversal of 22322164390344 is 44309346122322.

22322164390344 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 216 + 4 + 3 + 90 + 344 = 666.

It is a super-3 number, since 3×22322164390344³ (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22322164390344.

It is not an unprimeable number, because it can be changed into a prime (22322164390349) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 88502974 + ... + 88754834.

It is an arithmetic number, because the mean of its divisors is an integer number (173429654580).

Almost surely, 2^{22322164390344} is an apocalyptic number.

22322164390344 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 22322164390344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38848242625920).

22322164390344 is an abundant number, since it is smaller than the sum of its proper divisors (55374320861496).

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

22322164390344 is a wasteful number, since it uses less digits than its factorization.

22322164390344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252072 (or 252053 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 22322164390344 in words is "twenty-two trillion, three hundred twenty-two billion, one hundred sixty-four million, three hundred ninety thousand, three hundred forty-four".