22244475725472 has 768 divisors, whose sum is σ = 82638435962880. Its totient is φ = 5045782118400.

The previous prime is 22244475725419. The next prime is 22244475725473. The reversal of 22244475725472 is 27452757444222.

It is a super-3 number, since 3×22244475725472³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (22244475725473) 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 127 ways as a sum of consecutive naturals, for example, 1411354072 + ... + 1411369832.

It is an arithmetic number, because the mean of its divisors is an integer number (107602130160).

Almost surely, 2^{22244475725472} is an apocalyptic number.

22244475725472 is a gapful number since it is divisible by the number (22) 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 22244475725472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41319217981440).

22244475725472 is an abundant number, since it is smaller than the sum of its proper divisors (60393960237408).

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

22244475725472 is a wasteful number, since it uses less digits than its factorization.

22244475725472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16597 (or 16589 counting only the distinct ones).

The product of its digits is 70246400, while the sum is 57.

The spelling of 22244475725472 in words is "twenty-two trillion, two hundred forty-four billion, four hundred seventy-five million, seven hundred twenty-five thousand, four hundred seventy-two".