11005611111 has 12 divisors (see below), whose sum is σ = 17342175240. Its totient is φ = 6670067280.

The previous prime is 11005611007. The next prime is 11005611131. The reversal of 11005611111 is 11111650011.

It is a happy number.

11005611111 is a `hidden beast` number, since 1 + 100 + 561 + 1 + 1 + 1 + 1 = 666.

It is not a de Polignac number, because 11005611111 - 2⁹ = 11005610599 is a prime.

It is a super-2 number, since 2×11005611111² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11005611131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55583796 + ... + 55583993.

It is an arithmetic number, because the mean of its divisors is an integer number (1445181270).

Almost surely, 2^11005611111 is an apocalyptic number.

11005611111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11005611111 is a deficient number, since it is larger than the sum of its proper divisors (6336564129).

11005611111 is a wasteful number, since it uses less digits than its factorization.

11005611111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111167806 (or 111167803 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 18.

The spelling of 11005611111 in words is "eleven billion, five million, six hundred eleven thousand, one hundred eleven".