11686839634404 has 81 divisors (see below), whose sum is σ = 32472119127721. Its totient is φ = 3541398183840.

The previous prime is 11686839634399. The next prime is 11686839634417. The reversal of 11686839634404 is 40443693868611.

The square root of 11686839634404 is 3418602.

It is a perfect power (a square), and thus also a powerful number.

11686839634404 is a `hidden beast` number, since 1 + 1 + 68 + 6 + 83 + 96 + 3 + 4 + 404 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2400485422500 + 9286354211904 = 1549350^2 + 3047352^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 225601834 + ... + 225653630.

Almost surely, 2^{11686839634404} is an apocalyptic number.

11686839634404 is the 3418602-nd square number.

It is an amenable number.

11686839634404 is an abundant number, since it is smaller than the sum of its proper divisors (20785279493317).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11686839634404 is an frugal number, since it uses more digits than its factorization.

11686839634404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103626 (or 51813 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 11686839634404 in words is "eleven trillion, six hundred eighty-six billion, eight hundred thirty-nine million, six hundred thirty-four thousand, four hundred four".