22442664565200 has 240 divisors, whose sum is σ = 78549291934272. Its totient is φ = 5432156160000.

The previous prime is 22442664565171. The next prime is 22442664565201. The reversal of 22442664565200 is 256546624422.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a self number, because there is not a number n which added to its sum of digits gives 22442664565200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22442664565201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7134990 + ... + 9787410.

Almost surely, 2^{22442664565200} is an apocalyptic number.

22442664565200 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 22442664565200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39274645967136).

22442664565200 is an abundant number, since it is smaller than the sum of its proper divisors (56106627369072).

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

22442664565200 is a wasteful number, since it uses less digits than its factorization.

22442664565200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2653094 (or 2653083 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 48.

The spelling of 22442664565200 in words is "twenty-two trillion, four hundred forty-two billion, six hundred sixty-four million, five hundred sixty-five thousand, two hundred".