21742179448201 has 9 divisors (see below), whose sum is σ = 22345865032071. Its totient is φ = 21154385113992.

The previous prime is 21742179448163. The next prime is 21742179448207. The reversal of 21742179448201 is 10284497124712.

The square root of 21742179448201 is 4662851.

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., 19455200748025 + 2286978700176 = 4410805^2 + 1512276^2 .

It is not a de Polignac number, because 21742179448201 - 2²¹ = 21742177351049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21742179448207) 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, 172462476 + ... + 172588498.

Almost surely, 2^{21742179448201} is an apocalyptic number.

21742179448201 is the 4662851-st square number.

21742179448201 is the 2331426-th centered octagonal number.

It is an amenable number.

21742179448201 is a deficient number, since it is larger than the sum of its proper divisors (603685583870).

21742179448201 is an frugal number, since it uses more digits than its factorization.

21742179448201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252120 (or 126060 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 52.

The spelling of 21742179448201 in words is "twenty-one trillion, seven hundred forty-two billion, one hundred seventy-nine million, four hundred forty-eight thousand, two hundred one".