209433454321 has 81 divisors (see below), whose sum is σ = 272083758219. Its totient is φ = 160664239008.

The previous prime is 209433454309. The next prime is 209433454367. The reversal of 209433454321 is 123454334902.

It is a happy number.

The square root of 209433454321 is 457639.

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

209433454321 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., 30981280225 + 178452174096 = 176015^2 + 422436^2 .

It is not a de Polignac number, because 209433454321 - 2²¹ = 209431357169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (209433458321) 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, 1957321950 + ... + 1957322056.

Almost surely, 2^209433454321 is an apocalyptic number.

209433454321 is the 457639-th square number.

209433454321 is the 228820-th centered octagonal number.

It is an amenable number.

209433454321 is a deficient number, since it is larger than the sum of its proper divisors (62650303898).

209433454321 is an equidigital number, since it uses as much as digits as its factorization.

209433454321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 40.

The spelling of 209433454321 in words is "two hundred nine billion, four hundred thirty-three million, four hundred fifty-four thousand, three hundred twenty-one".