38163182400017 has 2 divisors, whose sum is σ = 38163182400018. Its totient is φ = 38163182400016.

The previous prime is 38163182399939. The next prime is 38163182400041. The reversal of 38163182400017 is 71000428136183.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33283218643921 + 4879963756096 = 5769161^2 + 2209064^2 .

It is a cyclic number.

It is not a de Polignac number, because 38163182400017 - 2⁸ = 38163182399761 is a prime.

It is not a weakly prime, because it can be changed into another prime (38163182400047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19081591200008 + 19081591200009.

It is an arithmetic number, because the mean of its divisors is an integer number (19081591200009).

Almost surely, 2^{38163182400017} is an apocalyptic number.

It is an amenable number.

38163182400017 is a deficient number, since it is larger than the sum of its proper divisors (1).

38163182400017 is an equidigital number, since it uses as much as digits as its factorization.

38163182400017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 193536, while the sum is 44.

The spelling of 38163182400017 in words is "thirty-eight trillion, one hundred sixty-three billion, one hundred eighty-two million, four hundred thousand, seventeen".