220889116448 has 486 divisors, whose sum is σ = 609449606577. Its totient is φ = 78483525120.

The previous prime is 220889116417. The next prime is 220889116453. The reversal of 220889116448 is 844611988022.

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.

220889116448 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 188866729744 + 32022386704 = 434588^2 + 178948^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=332332.

It is a self number, because there is not a number n which added to its sum of digits gives 220889116448.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2661314615 + ... + 2661314697.

Almost surely, 2^220889116448 is an apocalyptic number.

220889116448 is a gapful number since it is divisible by the number (28) 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 220889116448

220889116448 is an abundant number, since it is smaller than the sum of its proper divisors (388560490129).

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

220889116448 is a wasteful number, since it uses less digits than its factorization.

220889116448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 53.

The spelling of 220889116448 in words is "two hundred twenty billion, eight hundred eighty-nine million, one hundred sixteen thousand, four hundred forty-eight".