334312204431193 has 2 divisors, whose sum is σ = 334312204431194. Its totient is φ = 334312204431192.

The previous prime is 334312204431131. The next prime is 334312204431209. The reversal of 334312204431193 is 391134402213433.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 229818565813824 + 104493638617369 = 15159768^2 + 10222213^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-334312204431193 is a prime.

It is a super-3 number, since 3×334312204431193³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (334312201431193) 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, 167156102215596 + 167156102215597.

It is an arithmetic number, because the mean of its divisors is an integer number (167156102215597).

Almost surely, 2^{334312204431193} is an apocalyptic number.

It is an amenable number.

334312204431193 is a deficient number, since it is larger than the sum of its proper divisors (1).

334312204431193 is an equidigital number, since it uses as much as digits as its factorization.

334312204431193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 559872, while the sum is 43.

The spelling of 334312204431193 in words is "three hundred thirty-four trillion, three hundred twelve billion, two hundred four million, four hundred thirty-one thousand, one hundred ninety-three".