729965463828031 has 2 divisors, whose sum is σ = 729965463828032. Its totient is φ = 729965463828030.

The previous prime is 729965463827921. The next prime is 729965463828089. The reversal of 729965463828031 is 130828364569927.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-729965463828031 is a prime.

It is a super-2 number, since 2×729965463828031² (a number of 31 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (729965463820031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 364982731914015 + 364982731914016.

It is an arithmetic number, because the mean of its divisors is an integer number (364982731914016).

It is a 1-persistent number, because it is pandigital, but 2⋅729965463828031 = 1459930927656062 is not.

Almost surely, 2^{729965463828031} is an apocalyptic number.

729965463828031 is a deficient number, since it is larger than the sum of its proper divisors (1).

729965463828031 is an equidigital number, since it uses as much as digits as its factorization.

729965463828031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 940584960, while the sum is 73.

The spelling of 729965463828031 in words is "seven hundred twenty-nine trillion, nine hundred sixty-five billion, four hundred sixty-three million, eight hundred twenty-eight thousand, thirty-one".