138766316586689 has 128 divisors (see below), whose sum is σ = 168207943680000. Its totient is φ = 113215115059200.

The previous prime is 138766316586629. The next prime is 138766316586719. The reversal of 138766316586689 is 986685613667831.

It is not a de Polignac number, because 138766316586689 - 2³² = 138762021619393 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (138766316586629) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4557320537 + ... + 4557350985.

It is an arithmetic number, because the mean of its divisors is an integer number (1314124560000).

Almost surely, 2^{138766316586689} is an apocalyptic number.

It is an amenable number.

138766316586689 is a deficient number, since it is larger than the sum of its proper divisors (29441627093311).

138766316586689 is a wasteful number, since it uses less digits than its factorization.

138766316586689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30759.

The product of its digits is 11287019520, while the sum is 83.

The spelling of 138766316586689 in words is "one hundred thirty-eight trillion, seven hundred sixty-six billion, three hundred sixteen million, five hundred eighty-six thousand, six hundred eighty-nine".