8006683826211 has 48 divisors (see below), whose sum is σ = 12937038871680. Its totient is φ = 4388001098880.

The previous prime is 8006683826209. The next prime is 8006683826279. The reversal of 8006683826211 is 1126283866008.

It is a happy number.

It is not a de Polignac number, because 8006683826211 - 2¹ = 8006683826209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8006683826291) 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 in 47 ways as a sum of consecutive naturals, for example, 10902621 + ... + 11613806.

It is an arithmetic number, because the mean of its divisors is an integer number (269521643160).

Almost surely, 2^{8006683826211} is an apocalyptic number.

8006683826211 is a deficient number, since it is larger than the sum of its proper divisors (4930355045469).

8006683826211 is a wasteful number, since it uses less digits than its factorization.

8006683826211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22516544 (or 22516537 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The spelling of 8006683826211 in words is "eight trillion, six billion, six hundred eighty-three million, eight hundred twenty-six thousand, two hundred eleven".