10004334091249 has 2 divisors, whose sum is σ = 10004334091250. Its totient is φ = 10004334091248.

The previous prime is 10004334091211. The next prime is 10004334091253. The reversal of 10004334091249 is 94219043340001.

10004334091249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8612276270224 + 1392057821025 = 2934668^2 + 1179855^2 .

It is a cyclic number.

It is not a de Polignac number, because 10004334091249 - 2⁷ = 10004334091121 is a prime.

It is not a weakly prime, because it can be changed into another prime (10004334091289) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5002167045624 + 5002167045625.

It is an arithmetic number, because the mean of its divisors is an integer number (5002167045625).

Almost surely, 2^{10004334091249} is an apocalyptic number.

It is an amenable number.

10004334091249 is a deficient number, since it is larger than the sum of its proper divisors (1).

10004334091249 is an equidigital number, since it uses as much as digits as its factorization.

10004334091249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 93312, while the sum is 40.

The spelling of 10004334091249 in words is "ten trillion, four billion, three hundred thirty-four million, ninety-one thousand, two hundred forty-nine".