36676766817841 has 2 divisors, whose sum is σ = 36676766817842. Its totient is φ = 36676766817840.

The previous prime is 36676766817809. The next prime is 36676766817913. The reversal of 36676766817841 is 14871866767663.

36676766817841 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33347160090000 + 3329606727841 = 5774700^2 + 1824721^2 .

It is a cyclic number.

It is not a de Polignac number, because 36676766817841 - 2⁵ = 36676766817809 is a prime.

It is not a weakly prime, because it can be changed into another prime (36676766812841) 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, 18338383408920 + 18338383408921.

It is an arithmetic number, because the mean of its divisors is an integer number (18338383408921).

Almost surely, 2^{36676766817841} is an apocalyptic number.

It is an amenable number.

36676766817841 is a deficient number, since it is larger than the sum of its proper divisors (1).

36676766817841 is an equidigital number, since it uses as much as digits as its factorization.

36676766817841 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2048385024, while the sum is 76.

The spelling of 36676766817841 in words is "thirty-six trillion, six hundred seventy-six billion, seven hundred sixty-six million, eight hundred seventeen thousand, eight hundred forty-one".