349373323961 has 2 divisors, whose sum is σ = 349373323962. Its totient is φ = 349373323960.

The previous prime is 349373323931. The next prime is 349373323973. The reversal of 349373323961 is 169323373943.

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., 305566833961 + 43806490000 = 552781^2 + 209300^2 .

It is a cyclic number.

It is not a de Polignac number, because 349373323961 - 2³⁴ = 332193454777 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (349373323931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 174686661980 + 174686661981.

It is an arithmetic number, because the mean of its divisors is an integer number (174686661981).

Almost surely, 2^349373323961 is an apocalyptic number.

It is an amenable number.

349373323961 is a deficient number, since it is larger than the sum of its proper divisors (1).

349373323961 is an equidigital number, since it uses as much as digits as its factorization.

349373323961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6613488, while the sum is 53.

The spelling of 349373323961 in words is "three hundred forty-nine billion, three hundred seventy-three million, three hundred twenty-three thousand, nine hundred sixty-one".