34200644444093 has 2 divisors, whose sum is σ = 34200644444094. Its totient is φ = 34200644444092.

The previous prime is 34200644444003. The next prime is 34200644444167. The reversal of 34200644444093 is 39044444600243.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33425360672089 + 775283772004 = 5781467^2 + 880502^2 .

It is a cyclic number.

It is not a de Polignac number, because 34200644444093 - 2²⁸ = 34200376008637 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34200644444003) 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, 17100322222046 + 17100322222047.

It is an arithmetic number, because the mean of its divisors is an integer number (17100322222047).

Almost surely, 2^{34200644444093} is an apocalyptic number.

It is an amenable number.

34200644444093 is a deficient number, since it is larger than the sum of its proper divisors (1).

34200644444093 is an equidigital number, since it uses as much as digits as its factorization.

34200644444093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3981312, while the sum is 47.

The spelling of 34200644444093 in words is "thirty-four trillion, two hundred billion, six hundred forty-four million, four hundred forty-four thousand, ninety-three".