220436280816 has 160 divisors (see below), whose sum is σ = 611780843520. Its totient is φ = 68149813248.

The previous prime is 220436280797. The next prime is 220436280863. The reversal of 220436280816 is 618082634022.

220436280816 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 an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 22290625 + ... + 22300511.

It is an arithmetic number, because the mean of its divisors is an integer number (3823630272).

Almost surely, 2^220436280816 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 220436280816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305890421760).

220436280816 is an abundant number, since it is smaller than the sum of its proper divisors (391344562704).

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

220436280816 is a wasteful number, since it uses less digits than its factorization.

220436280816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10311 (or 10305 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 220436280816 in words is "two hundred twenty billion, four hundred thirty-six million, two hundred eighty thousand, eight hundred sixteen".