224452224000 has 1056 divisors, whose sum is σ = 873669360096. Its totient is φ = 55207526400.

The previous prime is 224452223987. The next prime is 224452224001. The reversal of 224452224000 is 422254422.

It can be written as a sum of positive squares in 16 ways, for example, as 142775156736 + 81677067264 = 377856^2 + 285792^2 .

It is not an unprimeable number, because it can be changed into a prime (224452224001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1429631922 + ... + 1429632078.

Almost surely, 2^224452224000 is an apocalyptic number.

224452224000 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 224452224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436834680048).

224452224000 is an abundant number, since it is smaller than the sum of its proper divisors (649217136096).

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

224452224000 is a wasteful number, since it uses less digits than its factorization.

224452224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

Adding to 224452224000 its reverse (422254422), we get a palindrome (224874478422).

The spelling of 224452224000 in words is "two hundred twenty-four billion, four hundred fifty-two million, two hundred twenty-four thousand".