11218353083161 has 9 divisors (see below), whose sum is σ = 13049948207061. Its totient is φ = 9615711117852.

The previous prime is 11218353083159. The next prime is 11218353083191. The reversal of 11218353083161 is 16138035381211.

The square root of 11218353083161 is 3349381.

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

It is not a de Polignac number, because 11218353083161 - 2¹ = 11218353083159 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11218353083191) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23206426 + ... + 23684908.

It is an arithmetic number, because the mean of its divisors is an integer number (1449994245229).

Almost surely, 2^{11218353083161} is an apocalyptic number.

11218353083161 is the 3349381-st square number.

11218353083161 is the 1674691-st centered octagonal number.

It is an amenable number.

11218353083161 is a deficient number, since it is larger than the sum of its proper divisors (1831595123900).

11218353083161 is an frugal number, since it uses more digits than its factorization.

11218353083161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956980 (or 478490 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

The spelling of 11218353083161 in words is "eleven trillion, two hundred eighteen billion, three hundred fifty-three million, eighty-three thousand, one hundred sixty-one".