138406854676671 has 72 divisors (see below), whose sum is σ = 246316570609824. Its totient is φ = 74414530068480.

The previous prime is 138406854676669. The next prime is 138406854676721. The reversal of 138406854676671 is 176676458604831.

138406854676671 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 0 + 6 + 8 + 546 + 7 + 6 + 6 + 71 = 666.

It is not a de Polignac number, because 138406854676671 - 2¹ = 138406854676669 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 138406854676671.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138406854676661) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21700671 + ... + 27344703.

It is an arithmetic number, because the mean of its divisors is an integer number (3421063480692).

Almost surely, 2^{138406854676671} is an apocalyptic number.

138406854676671 is a deficient number, since it is larger than the sum of its proper divisors (107909715933153).

138406854676671 is a wasteful number, since it uses less digits than its factorization.

138406854676671 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5647341 (or 5647331 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 138406854676671 in words is "one hundred thirty-eight trillion, four hundred six billion, eight hundred fifty-four million, six hundred seventy-six thousand, six hundred seventy-one".