1185966738441 has 27 divisors (see below), whose sum is σ = 1760792864103. Its totient is φ = 769197312720.

The previous prime is 1185966738431. The next prime is 1185966738461. The reversal of 1185966738441 is 1448376695811.

The square root of 1185966738441 is 1089021.

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

1185966738441 is a `hidden beast` number, since 1 + 1 + 8 + 596 + 6 + 7 + 38 + 4 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1061219324025 + 124747414416 = 1030155^2 + 353196^2 .

It is not a de Polignac number, because 1185966738441 - 2⁹ = 1185966737929 is a prime.

It is a super-2 number, since 2×1185966738441² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1185966738431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 120876426 + ... + 120886236.

Almost surely, 2^{1185966738441} is an apocalyptic number.

1185966738441 is the 1089021-st square number.

1185966738441 is the 544511-st centered octagonal number.

It is an amenable number.

1185966738441 is a deficient number, since it is larger than the sum of its proper divisors (574826125662).

1185966738441 is an frugal number, since it uses more digits than its factorization.

1185966738441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19702 (or 9851 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 1185966738441 in words is "one trillion, one hundred eighty-five billion, nine hundred sixty-six million, seven hundred thirty-eight thousand, four hundred forty-one".