29334814594361 has 2 divisors, whose sum is σ = 29334814594362. Its totient is φ = 29334814594360.

The previous prime is 29334814594333. The next prime is 29334814594363. The reversal of 29334814594361 is 16349541843392.

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., 27870850111225 + 1463964483136 = 5279285^2 + 1209944^2 .

It is a cyclic number.

It is not a de Polignac number, because 29334814594361 - 2¹⁸ = 29334814332217 is a prime.

Together with 29334814594363, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 29334814594294 and 29334814594303.

It is not a weakly prime, because it can be changed into another prime (29334814594363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14667407297180 + 14667407297181.

It is an arithmetic number, because the mean of its divisors is an integer number (14667407297181).

Almost surely, 2^{29334814594361} is an apocalyptic number.

It is an amenable number.

29334814594361 is a deficient number, since it is larger than the sum of its proper divisors (1).

29334814594361 is an equidigital number, since it uses as much as digits as its factorization.

29334814594361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 67184640, while the sum is 62.

The spelling of 29334814594361 in words is "twenty-nine trillion, three hundred thirty-four billion, eight hundred fourteen million, five hundred ninety-four thousand, three hundred sixty-one".