344132134101089 has 2 divisors, whose sum is σ = 344132134101090. Its totient is φ = 344132134101088.

The previous prime is 344132134101017. The next prime is 344132134101109. The reversal of 344132134101089 is 980101431231443.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 215296195350625 + 128835938750464 = 14672975^2 + 11350592^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-344132134101089 is a prime.

It is not a weakly prime, because it can be changed into another prime (344132134101589) 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, 172066067050544 + 172066067050545.

It is an arithmetic number, because the mean of its divisors is an integer number (172066067050545).

Almost surely, 2^{344132134101089} is an apocalyptic number.

It is an amenable number.

344132134101089 is a deficient number, since it is larger than the sum of its proper divisors (1).

344132134101089 is an equidigital number, since it uses as much as digits as its factorization.

344132134101089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 248832, while the sum is 44.

The spelling of 344132134101089 in words is "three hundred forty-four trillion, one hundred thirty-two billion, one hundred thirty-four million, one hundred one thousand, eighty-nine".