220459359961 has 9 divisors (see below), whose sum is σ = 223186951711. Its totient is φ = 217764721552.

The previous prime is 220459359917. The next prime is 220459359973. The reversal of 220459359961 is 169953954022.

The square root of 220459359961 is 469531.

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

It can be written as a sum of positive squares in only one way, i.e., 21949904025 + 198509455936 = 148155^2 + 445544^2 .

It is not a de Polignac number, because 220459359961 - 2²⁵ = 220425805529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (220456359961) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 38968245 + ... + 38973901.

Almost surely, 2^220459359961 is an apocalyptic number.

220459359961 is the 469531-st square number.

220459359961 is the 234766-th centered octagonal number.

It is an amenable number.

220459359961 is a deficient number, since it is larger than the sum of its proper divisors (2727591750).

220459359961 is an frugal number, since it uses more digits than its factorization.

220459359961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11480 (or 5740 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 55.

The spelling of 220459359961 in words is "two hundred twenty billion, four hundred fifty-nine million, three hundred fifty-nine thousand, nine hundred sixty-one".