220816009456 has 80 divisors (see below), whose sum is σ = 494044521984. Its totient is φ = 93650648832.

The previous prime is 220816009399. The next prime is 220816009457. The reversal of 220816009456 is 654900618022.

220816009456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220816009457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18601635 + ... + 18613501.

Almost surely, 2^220816009456 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 220816009456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247022260992).

220816009456 is an abundant number, since it is smaller than the sum of its proper divisors (273228512528).

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

220816009456 is a wasteful number, since it uses less digits than its factorization.

220816009456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13598 (or 13592 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The spelling of 220816009456 in words is "two hundred twenty billion, eight hundred sixteen million, nine thousand, four hundred fifty-six".