11194518164041 has 27 divisors (see below), whose sum is σ = 12021538725279. Its totient is φ = 10422259181568.

The previous prime is 11194518164029. The next prime is 11194518164101. The reversal of 11194518164041 is 14046181549111.

The square root of 11194518164041 is 3345821.

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

It can be written as a sum of positive squares in 13 ways, for example, as 268716787641 + 10925801376400 = 518379^2 + 3305420^2 .

It is not a de Polignac number, because 11194518164041 - 2¹⁵ = 11194518131273 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11194518163982 and 11194518164000.

It is not an unprimeable number, because it can be changed into a prime (11194518164021) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5517257815 + ... + 5517259843.

Almost surely, 2^{11194518164041} is an apocalyptic number.

11194518164041 is the 3345821-st square number.

11194518164041 is the 1672911-st centered octagonal number.

It is an amenable number.

11194518164041 is a deficient number, since it is larger than the sum of its proper divisors (827020561238).

11194518164041 is an frugal number, since it uses more digits than its factorization.

11194518164041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4286 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 46.

The spelling of 11194518164041 in words is "eleven trillion, one hundred ninety-four billion, five hundred eighteen million, one hundred sixty-four thousand, forty-one".