22404128544 has 288 divisors, whose sum is σ = 75562905600. Its totient is φ = 6161702400.

The previous prime is 22404128543. The next prime is 22404128561. The reversal of 22404128544 is 44582140422.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22404128499 and 22404128508.

It is not an unprimeable number, because it can be changed into a prime (22404128543) 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 47 ways as a sum of consecutive naturals, for example, 13185807 + ... + 13187505.

It is an arithmetic number, because the mean of its divisors is an integer number (262371200).

Almost surely, 2^22404128544 is an apocalyptic number.

22404128544 is a gapful number since it is divisible by the number (24) 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 22404128544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37781452800).

22404128544 is an abundant number, since it is smaller than the sum of its proper divisors (53158777056).

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

22404128544 is a wasteful number, since it uses less digits than its factorization.

22404128544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964 (or 1953 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 36.

Adding to 22404128544 its reverse (44582140422), we get a palindrome (66986268966).

The spelling of 22404128544 in words is "twenty-two billion, four hundred four million, one hundred twenty-eight thousand, five hundred forty-four".