22168445644800 has 4992 divisors, whose sum is σ = 109097137336320. Its totient is φ = 4280706662400.

The previous prime is 22168445644747. The next prime is 22168445644801. The reversal of 22168445644800 is 844654486122.

22168445644800 is a `hidden beast` number, since 2 + 2 + 1 + 68 + 4 + 45 + 64 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4992).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22168445644801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 303677337564 + ... + 303677337636.

Almost surely, 2^{22168445644800} is an apocalyptic number.

22168445644800 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 22168445644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54548568668160).

22168445644800 is an abundant number, since it is smaller than the sum of its proper divisors (86928691691520).

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

22168445644800 is a wasteful number, since it uses less digits than its factorization.

22168445644800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 22168445644800 in words is "twenty-two trillion, one hundred sixty-eight billion, four hundred forty-five million, six hundred forty-four thousand, eight hundred".