11185666872004 has 27 divisors (see below), whose sum is σ = 19649094491943. Its totient is φ = 5571719620128.

The previous prime is 11185666871987. The next prime is 11185666872041. The reversal of 11185666872004 is 40027866658111.

The square root of 11185666872004 is 3344498.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4462225310404 + 6723441561600 = 2112398^2 + 2592960^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1852848874 + ... + 1852854910.

Almost surely, 2^{11185666872004} is an apocalyptic number.

11185666872004 is the 3344498-th square number.

It is an amenable number.

11185666872004 is a deficient number, since it is larger than the sum of its proper divisors (8463427619939).

11185666872004 is an frugal number, since it uses more digits than its factorization.

11185666872004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12632 (or 6316 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 55.

The spelling of 11185666872004 in words is "eleven trillion, one hundred eighty-five billion, six hundred sixty-six million, eight hundred seventy-two thousand, four".