220560790321 has 9 divisors (see below), whose sum is σ = 224264944683. Its totient is φ = 216916861320.

The previous prime is 220560790291. The next prime is 220560790337. The reversal of 220560790321 is 123097065022.

The square root of 220560790321 is 469639.

It is a perfect power (a square), and thus also a powerful number.

220560790321 is digitally balanced in base 2, 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 only one way, i.e., 7172226721 + 213388563600 = 84689^2 + 461940^2 .

It is not a de Polignac number, because 220560790321 - 2⁹ = 220560789809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (220560790361) 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 8 ways as a sum of consecutive naturals, for example, 28644130 + ... + 28651828.

It is an arithmetic number, because the mean of its divisors is an integer number (24918327187).

Almost surely, 2^220560790321 is an apocalyptic number.

220560790321 is the 469639-th square number.

220560790321 is the 234820-th centered octagonal number.

It is an amenable number.

220560790321 is a deficient number, since it is larger than the sum of its proper divisors (3704154362).

220560790321 is an frugal number, since it uses more digits than its factorization.

220560790321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15520 (or 7760 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The spelling of 220560790321 in words is "two hundred twenty billion, five hundred sixty million, seven hundred ninety thousand, three hundred twenty-one".