11135442194361 has 81 divisors (see below), whose sum is σ = 17396526071821. Its totient is φ = 6862327903488.

The previous prime is 11135442194311. The next prime is 11135442194363. The reversal of 11135442194361 is 16349124453111.

The square root of 11135442194361 is 3336981.

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

11135442194361 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 544 + 2 + 1 + 9 + 43 + 61 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1400068730025 + 9735373464336 = 1183245^2 + 3120156^2 .

It is not a de Polignac number, because 11135442194361 - 2⁹ = 11135442193849 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11135442194363) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 10040975275 + ... + 10040976383.

Almost surely, 2^{11135442194361} is an apocalyptic number.

11135442194361 is the 3336981-st square number.

11135442194361 is the 1668491-st centered octagonal number.

It is an amenable number.

11135442194361 is a deficient number, since it is larger than the sum of its proper divisors (6261083877460).

11135442194361 is an frugal number, since it uses more digits than its factorization.

11135442194361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2376 (or 1188 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 11135442194361 in words is "eleven trillion, one hundred thirty-five billion, four hundred forty-two million, one hundred ninety-four thousand, three hundred sixty-one".