22522335464352 has 96 divisors (see below), whose sum is σ = 59383288944000. Its totient is φ = 7474159623168.

The previous prime is 22522335464329. The next prime is 22522335464357. The reversal of 22522335464352 is 25346453322522.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (22522335464357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 479205718 + ... + 479252714.

It is an arithmetic number, because the mean of its divisors is an integer number (618575926500).

Almost surely, 2^{22522335464352} 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 22522335464352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29691644472000).

22522335464352 is an abundant number, since it is smaller than the sum of its proper divisors (36860953479648).

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

22522335464352 is a wasteful number, since it uses less digits than its factorization.

22522335464352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69038 (or 69030 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 48.

Adding to 22522335464352 its reverse (25346453322522), we get a palindrome (47868788786874).

The spelling of 22522335464352 in words is "twenty-two trillion, five hundred twenty-two billion, three hundred thirty-five million, four hundred sixty-four thousand, three hundred fifty-two".