138384748340689 has 2 divisors, whose sum is σ = 138384748340690. Its totient is φ = 138384748340688.

The previous prime is 138384748340513. The next prime is 138384748340701. The reversal of 138384748340689 is 986043847483831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 131766683387089 + 6618064953600 = 11478967^2 + 2572560^2 .

It is an emirp because it is prime and its reverse (986043847483831) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 138384748340689 - 2¹³ = 138384748332497 is a prime.

It is not a weakly prime, because it can be changed into another prime (138384748340789) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69192374170344 + 69192374170345.

It is an arithmetic number, because the mean of its divisors is an integer number (69192374170345).

Almost surely, 2^{138384748340689} is an apocalyptic number.

It is an amenable number.

138384748340689 is a deficient number, since it is larger than the sum of its proper divisors (1).

138384748340689 is an equidigital number, since it uses as much as digits as its factorization.

138384748340689 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2675441664, while the sum is 76.

The spelling of 138384748340689 in words is "one hundred thirty-eight trillion, three hundred eighty-four billion, seven hundred forty-eight million, three hundred forty thousand, six hundred eighty-nine".