36664629217829 has 2 divisors, whose sum is σ = 36664629217830. Its totient is φ = 36664629217828.

The previous prime is 36664629217813. The next prime is 36664629217831. The reversal of 36664629217829 is 92871292646663.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20392901222500 + 16271727995329 = 4515850^2 + 4033823^2 .

It is a cyclic number.

It is not a de Polignac number, because 36664629217829 - 2⁴ = 36664629217813 is a prime.

Together with 36664629217831, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36664629217889) 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, 18332314608914 + 18332314608915.

It is an arithmetic number, because the mean of its divisors is an integer number (18332314608915).

Almost surely, 2^{36664629217829} is an apocalyptic number.

It is an amenable number.

36664629217829 is a deficient number, since it is larger than the sum of its proper divisors (1).

36664629217829 is an equidigital number, since it uses as much as digits as its factorization.

36664629217829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 564350976, while the sum is 71.

The spelling of 36664629217829 in words is "thirty-six trillion, six hundred sixty-four billion, six hundred twenty-nine million, two hundred seventeen thousand, eight hundred twenty-nine".