22244466888000 has 2772 divisors, whose sum is σ = 99323903229876. Its totient is φ = 4920435072000.

The previous prime is 22244466887987. The next prime is 22244466888001. The reversal of 22244466888000 is 88866444222.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

22244466888000 is a `hidden beast` number, since 2 + 2 + 24 + 4 + 466 + 88 + 80 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 711822940416 + 21532643947584 = 843696^2 + 4640328^2 .

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

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22244466888001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 395 ways as a sum of consecutive naturals, for example, 717563447985 + ... + 717563448015.

Almost surely, 2^{22244466888000} is an apocalyptic number.

22244466888000 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 22244466888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49661951614938).

22244466888000 is an abundant number, since it is smaller than the sum of its proper divisors (77079436341876).

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

22244466888000 is an frugal number, since it uses more digits than its factorization.

22244466888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 54.

The spelling of 22244466888000 in words is "twenty-two trillion, two hundred forty-four billion, four hundred sixty-six million, eight hundred eighty-eight thousand".