349778671369649 has 2 divisors, whose sum is σ = 349778671369650. Its totient is φ = 349778671369648.

The previous prime is 349778671369639. The next prime is 349778671369651. The reversal of 349778671369649 is 946963176877943.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 339775747062049 + 10002924307600 = 18433007^2 + 3162740^2 .

It is a cyclic number.

It is not a de Polignac number, because 349778671369649 - 2¹² = 349778671365553 is a prime.

Together with 349778671369651, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (349778671369639) 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, 174889335684824 + 174889335684825.

It is an arithmetic number, because the mean of its divisors is an integer number (174889335684825).

Almost surely, 2^{349778671369649} is an apocalyptic number.

It is an amenable number.

349778671369649 is a deficient number, since it is larger than the sum of its proper divisors (1).

349778671369649 is an equidigital number, since it uses as much as digits as its factorization.

349778671369649 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 62219695104, while the sum is 89.

The spelling of 349778671369649 in words is "three hundred forty-nine trillion, seven hundred seventy-eight billion, six hundred seventy-one million, three hundred sixty-nine thousand, six hundred forty-nine".