11116335414105 has 48 divisors (see below), whose sum is σ = 19731551089536. Its totient is φ = 5786389647360.

The previous prime is 11116335414089. The next prime is 11116335414109. The reversal of 11116335414105 is 50141453361111.

11116335414105 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 6 + 3 + 3 + 541 + 4 + 105 = 666.

11116335414105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11116335414105 - 2⁴ = 11116335414089 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 11116335414105.

It is not an unprimeable number, because it can be changed into a prime (11116335414109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 316825 + ... + 4725785.

It is an arithmetic number, because the mean of its divisors is an integer number (411073981032).

Almost surely, 2^{11116335414105} is an apocalyptic number.

11116335414105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11116335414105 is a deficient number, since it is larger than the sum of its proper divisors (8615215675431).

11116335414105 is a wasteful number, since it uses less digits than its factorization.

11116335414105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4410318 (or 4410315 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

Adding to 11116335414105 its reverse (50141453361111), we get a palindrome (61257788775216).

The spelling of 11116335414105 in words is "eleven trillion, one hundred sixteen billion, three hundred thirty-five million, four hundred fourteen thousand, one hundred five".