22464400224 has 192 divisors, whose sum is σ = 70524711936. Its totient is φ = 6126741504.

The previous prime is 22464400223. The next prime is 22464400237. The reversal of 22464400224 is 42200446422.

It is a junction number, because it is equal to n+sod(n) for n = 22464400191 and 22464400200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22464400223) 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 31 ways as a sum of consecutive naturals, for example, 1309269 + ... + 1326315.

It is an arithmetic number, because the mean of its divisors is an integer number (367316208).

Almost surely, 2^22464400224 is an apocalyptic number.

22464400224 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 22464400224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35262355968).

22464400224 is an abundant number, since it is smaller than the sum of its proper divisors (48060311712).

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

22464400224 is a wasteful number, since it uses less digits than its factorization.

22464400224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17157 (or 17149 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 22464400224 its reverse (42200446422), we get a palindrome (64664846646).

The spelling of 22464400224 in words is "twenty-two billion, four hundred sixty-four million, four hundred thousand, two hundred twenty-four".