220421799081 has 81 divisors (see below), whose sum is σ = 359743193719. Its totient is φ = 129955108800.

The previous prime is 220421799079. The next prime is 220421799113. The reversal of 220421799081 is 180997124022.

The square root of 220421799081 is 469491.

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

220421799081 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., 10621157481 + 209800641600 = 103059^2 + 458040^2 .

It is not a de Polignac number, because 220421799081 - 2¹ = 220421799079 is a prime.

It is a super-2 number, since 2×220421799081² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (220421799041) 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 80 ways as a sum of consecutive naturals, for example, 635221150 + ... + 635221496.

Almost surely, 2^220421799081 is an apocalyptic number.

220421799081 is the 469491-st square number.

220421799081 is the 234746-th centered octagonal number.

It is an amenable number.

220421799081 is a deficient number, since it is larger than the sum of its proper divisors (139321394638).

220421799081 is an equidigital number, since it uses as much as digits as its factorization.

220421799081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 220421799081 in words is "two hundred twenty billion, four hundred twenty-one million, seven hundred ninety-nine thousand, eighty-one".