220656607164 has 120 divisors (see below), whose sum is σ = 659413893600. Its totient is φ = 63028658304.

The previous prime is 220656607159. The next prime is 220656607181. The reversal of 220656607164 is 461706656022.

220656607164 is a `hidden beast` number, since 2 + 20 + 6 + 5 + 6 + 607 + 16 + 4 = 666.

220656607164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×220656607164² (a number of 23 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 11051062 + ... + 11071010.

It is an arithmetic number, because the mean of its divisors is an integer number (5495115780).

Almost surely, 2^220656607164 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 220656607164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329706946800).

220656607164 is an abundant number, since it is smaller than the sum of its proper divisors (438757286436).

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

220656607164 is a wasteful number, since it uses less digits than its factorization.

220656607164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24849 (or 24838 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 220656607164 in words is "two hundred twenty billion, six hundred fifty-six million, six hundred seven thousand, one hundred sixty-four".