220448000000 has 252 divisors, whose sum is σ = 557696669985. Its totient is φ = 87116800000.

The previous prime is 220447999969. The next prime is 220448000029. The reversal of 220448000000 is 844022.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 37592556544 + 182855443456 = 193888^2 + 427616^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=332000.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 2655999959 + ... + 2656000041.

Almost surely, 2^220448000000 is an apocalyptic number.

220448000000 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 220448000000

220448000000 is an abundant number, since it is smaller than the sum of its proper divisors (337248669985).

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

220448000000 is an frugal number, since it uses more digits than its factorization.

220448000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Multiplying 220448000000 by its product of nonzero digits (512), we get a square (112869376000000 = 10624000²).

220448000000 divided by its product of nonzero digits (512) gives a square (430562500 = 20750²).

Adding to 220448000000 its reverse (844022), we get a palindrome (220448844022).

The spelling of 220448000000 in words is "two hundred twenty billion, four hundred forty-eight million", and thus it is an aban number.