344443033104089 has 2 divisors, whose sum is σ = 344443033104090. Its totient is φ = 344443033104088.

The previous prime is 344443033104013. The next prime is 344443033104119. The reversal of 344443033104089 is 980401330344443.

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., 177659575210000 + 166783457894089 = 13328900^2 + 12914467^2 .

It is a cyclic number.

It is not a de Polignac number, because 344443033104089 - 2¹² = 344443033099993 is a prime.

It is not a weakly prime, because it can be changed into another prime (344443033124089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 172221516552044 + 172221516552045.

It is an arithmetic number, because the mean of its divisors is an integer number (172221516552045).

Almost surely, 2^{344443033104089} is an apocalyptic number.

It is an amenable number.

344443033104089 is a deficient number, since it is larger than the sum of its proper divisors (1).

344443033104089 is an equidigital number, since it uses as much as digits as its factorization.

344443033104089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5971968, while the sum is 50.

The spelling of 344443033104089 in words is "three hundred forty-four trillion, four hundred forty-three billion, thirty-three million, one hundred four thousand, eighty-nine".