729442209361 has 2 divisors, whose sum is σ = 729442209362. Its totient is φ = 729442209360.

The previous prime is 729442209269. The next prime is 729442209413. The reversal of 729442209361 is 163902244927.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 531359355136 + 198082854225 = 728944^2 + 445065^2 .

It is a cyclic number.

It is not a de Polignac number, because 729442209361 - 2²⁹ = 728905338449 is a prime.

It is not a weakly prime, because it can be changed into another prime (729442201361) 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 as a sum of consecutive naturals, namely, 364721104680 + 364721104681.

It is an arithmetic number, because the mean of its divisors is an integer number (364721104681).

Almost surely, 2^729442209361 is an apocalyptic number.

It is an amenable number.

729442209361 is a deficient number, since it is larger than the sum of its proper divisors (1).

729442209361 is an equidigital number, since it uses as much as digits as its factorization.

729442209361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1306368, while the sum is 49.

The spelling of 729442209361 in words is "seven hundred twenty-nine billion, four hundred forty-two million, two hundred nine thousand, three hundred sixty-one".