34132241412337 has 2 divisors, whose sum is σ = 34132241412338. Its totient is φ = 34132241412336.

The previous prime is 34132241412289. The next prime is 34132241412361. The reversal of 34132241412337 is 73321414223143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18679606204081 + 15452635208256 = 4321991^2 + 3930984^2 .

It is a cyclic number.

It is not a de Polignac number, because 34132241412337 - 2²⁷ = 34132107194609 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34132241412337.

It is not a weakly prime, because it can be changed into another prime (34132241412037) 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, 17066120706168 + 17066120706169.

It is an arithmetic number, because the mean of its divisors is an integer number (17066120706169).

Almost surely, 2^{34132241412337} is an apocalyptic number.

It is an amenable number.

34132241412337 is a deficient number, since it is larger than the sum of its proper divisors (1).

34132241412337 is an equidigital number, since it uses as much as digits as its factorization.

34132241412337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 290304, while the sum is 40.

The spelling of 34132241412337 in words is "thirty-four trillion, one hundred thirty-two billion, two hundred forty-one million, four hundred twelve thousand, three hundred thirty-seven".