22224134400104 has 256 divisors, whose sum is σ = 57395887718400. Its totient is φ = 7816761418752.

The previous prime is 22224134400101. The next prime is 22224134400137. The reversal of 22224134400104 is 40100443142222.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (22224134400101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16202177 + ... + 17520239.

It is an arithmetic number, because the mean of its divisors is an integer number (224202686400).

Almost surely, 2^{22224134400104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22224134400104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28697943859200).

22224134400104 is an abundant number, since it is smaller than the sum of its proper divisors (35171753318296).

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

22224134400104 is a wasteful number, since it uses less digits than its factorization.

22224134400104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318184 (or 1318180 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 22224134400104 its reverse (40100443142222), we get a palindrome (62324577542326).

The spelling of 22224134400104 in words is "twenty-two trillion, two hundred twenty-four billion, one hundred thirty-four million, four hundred thousand, one hundred four".