38116661516117 has 2 divisors, whose sum is σ = 38116661516118. Its totient is φ = 38116661516116.

The previous prime is 38116661516083. The next prime is 38116661516183. The reversal of 38116661516117 is 71161516661183.

38116661516117 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., 33902833792996 + 4213827723121 = 5822614^2 + 2052761^2 .

It is a cyclic number.

It is not a de Polignac number, because 38116661516117 - 2¹⁴ = 38116661499733 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (38116661716117) 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, 19058330758058 + 19058330758059.

It is an arithmetic number, because the mean of its divisors is an integer number (19058330758059).

Almost surely, 2^{38116661516117} is an apocalyptic number.

It is an amenable number.

38116661516117 is a deficient number, since it is larger than the sum of its proper divisors (1).

38116661516117 is an equidigital number, since it uses as much as digits as its factorization.

38116661516117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1088640, while the sum is 53.

The spelling of 38116661516117 in words is "thirty-eight trillion, one hundred sixteen billion, six hundred sixty-one million, five hundred sixteen thousand, one hundred seventeen".