36664634201617 has 2 divisors, whose sum is σ = 36664634201618. Its totient is φ = 36664634201616.

The previous prime is 36664634201563. The next prime is 36664634201653. The reversal of 36664634201617 is 71610243646663.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21561897223441 + 15102736978176 = 4643479^2 + 3886224^2 .

It is an emirp because it is prime and its reverse (71610243646663) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-36664634201617 is a prime.

It is a super-2 number, since 2×36664634201617² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (36664634202617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18332317100808 + 18332317100809.

It is an arithmetic number, because the mean of its divisors is an integer number (18332317100809).

Almost surely, 2^{36664634201617} is an apocalyptic number.

It is an amenable number.

36664634201617 is a deficient number, since it is larger than the sum of its proper divisors (1).

36664634201617 is an equidigital number, since it uses as much as digits as its factorization.

36664634201617 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15676416, while the sum is 55.

The spelling of 36664634201617 in words is "thirty-six trillion, six hundred sixty-four billion, six hundred thirty-four million, two hundred one thousand, six hundred seventeen".