33782068838429 has 2 divisors, whose sum is σ = 33782068838430. Its totient is φ = 33782068838428.

The previous prime is 33782068838299. The next prime is 33782068838443. The reversal of 33782068838429 is 92483886028733.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20436746572804 + 13345322265625 = 4520702^2 + 3653125^2 .

It is a cyclic number.

It is not a de Polignac number, because 33782068838429 - 2¹² = 33782068834333 is a prime.

It is a super-2 number, since 2×33782068838429² (a number of 28 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33782068838489) 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, 16891034419214 + 16891034419215.

It is an arithmetic number, because the mean of its divisors is an integer number (16891034419215).

Almost surely, 2^{33782068838429} is an apocalyptic number.

It is an amenable number.

33782068838429 is a deficient number, since it is larger than the sum of its proper divisors (1).

33782068838429 is an equidigital number, since it uses as much as digits as its factorization.

33782068838429 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 668860416, while the sum is 71.

The spelling of 33782068838429 in words is "thirty-three trillion, seven hundred eighty-two billion, sixty-eight million, eight hundred thirty-eight thousand, four hundred twenty-nine".