312000334014349 has 2 divisors, whose sum is σ = 312000334014350. Its totient is φ = 312000334014348.

The previous prime is 312000334014287. The next prime is 312000334014361. The reversal of 312000334014349 is 943410433000213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 300162901544100 + 11837432470249 = 17325210^2 + 3440557^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312000334014349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312000334014449) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156000167007174 + 156000167007175.

It is an arithmetic number, because the mean of its divisors is an integer number (156000167007175).

Almost surely, 2^{312000334014349} is an apocalyptic number.

It is an amenable number.

312000334014349 is a deficient number, since it is larger than the sum of its proper divisors (1).

312000334014349 is an equidigital number, since it uses as much as digits as its factorization.

312000334014349 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 93312, while the sum is 37.

The spelling of 312000334014349 in words is "three hundred twelve trillion, three hundred thirty-four million, fourteen thousand, three hundred forty-nine".