206362141441 has 9 divisors (see below), whose sum is σ = 217804056771. Its totient is φ = 195492799224.

The previous prime is 206362141423. The next prime is 206362141451. The reversal of 206362141441 is 144141263602.

The square root of 206362141441 is 454271.

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., 12392365041 + 193969776400 = 111321^2 + 440420^2 .

It is not a de Polignac number, because 206362141441 - 2¹⁷ = 206362010369 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 206362141397 and 206362141406.

It is not an unprimeable number, because it can be changed into a prime (206362141451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8619195 + ... + 8643103.

Almost surely, 2^206362141441 is an apocalyptic number.

206362141441 is the 454271-st square number.

206362141441 is the 227136-th centered octagonal number.

It is an amenable number.

206362141441 is a deficient number, since it is larger than the sum of its proper divisors (11441915330).

206362141441 is an frugal number, since it uses more digits than its factorization.

206362141441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47856 (or 23928 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The spelling of 206362141441 in words is "two hundred six billion, three hundred sixty-two million, one hundred forty-one thousand, four hundred forty-one".