220016818656 has 144 divisors (see below), whose sum is σ = 630609688800. Its totient is φ = 72761441280.

The previous prime is 220016818649. The next prime is 220016818663. The reversal of 220016818656 is 656818610022.

It is an interprime number because it is at equal distance from previous prime (220016818649) and next prime (220016818663).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 44239786 + ... + 44244758.

It is an arithmetic number, because the mean of its divisors is an integer number (4379233950).

Almost surely, 2^220016818656 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 220016818656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315304844400).

220016818656 is an abundant number, since it is smaller than the sum of its proper divisors (410592870144).

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

220016818656 is a wasteful number, since it uses less digits than its factorization.

220016818656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6169 (or 6158 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 220016818656 in words is "two hundred twenty billion, sixteen million, eight hundred eighteen thousand, six hundred fifty-six".