11686128673 has 16 divisors (see below), whose sum is σ = 12351782016. Its totient is φ = 11033841280.

The previous prime is 11686128667. The next prime is 11686128691. The reversal of 11686128673 is 37682168611.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 11686128673 - 2²¹ = 11684031521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11686128073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3283611 + ... + 3287167.

It is an arithmetic number, because the mean of its divisors is an integer number (771986376).

Almost surely, 2^11686128673 is an apocalyptic number.

It is an amenable number.

11686128673 is a deficient number, since it is larger than the sum of its proper divisors (665653343).

11686128673 is a wasteful number, since it uses less digits than its factorization.

11686128673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5384.

The product of its digits is 580608, while the sum is 49.

The spelling of 11686128673 in words is "eleven billion, six hundred eighty-six million, one hundred twenty-eight thousand, six hundred seventy-three".