220729892761 has 27 divisors (see below), whose sum is σ = 263343662877. Its totient is φ = 184469732160.

The previous prime is 220729892671. The next prime is 220729892791. The reversal of 220729892761 is 167298927022.

The square root of 220729892761 is 469819.

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

It can be written as a sum of positive squares in 4 ways, for example, as 187839894025 + 32889998736 = 433405^2 + 181356^2 .

It is not a de Polignac number, because 220729892761 - 2¹⁹ = 220729368473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (220729892791) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 134837235 + ... + 134838871.

Almost surely, 2^220729892761 is an apocalyptic number.

220729892761 is the 469819-th square number.

220729892761 is the 234910-th centered octagonal number.

It is an amenable number.

220729892761 is a deficient number, since it is larger than the sum of its proper divisors (42613770116).

220729892761 is an frugal number, since it uses more digits than its factorization.

220729892761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3370 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 55.

The spelling of 220729892761 in words is "two hundred twenty billion, seven hundred twenty-nine million, eight hundred ninety-two thousand, seven hundred sixty-one".