220443043124224 has 176 divisors, whose sum is σ = 444236857218000. Its totient is φ = 109334495232000.

The previous prime is 220443043124209. The next prime is 220443043124273. The reversal of 220443043124224 is 422421340344022.

It can be written as a sum of positive squares in 8 ways, for example, as 87400659764224 + 133042383360000 = 9348832^2 + 11534400^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58612878504 + ... + 58612882264.

It is an arithmetic number, because the mean of its divisors is an integer number (2524073052375).

Almost surely, 2^{220443043124224} 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 220443043124224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222118428609000).

220443043124224 is an abundant number, since it is smaller than the sum of its proper divisors (223793814093776).

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

220443043124224 is a wasteful number, since it uses less digits than its factorization.

220443043124224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4940 (or 4922 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 37.

Adding to 220443043124224 its reverse (422421340344022), we get a palindrome (642864383468246).

The spelling of 220443043124224 in words is "two hundred twenty trillion, four hundred forty-three billion, forty-three million, one hundred twenty-four thousand, two hundred twenty-four".