111116408 has 64 divisors (see below), whose sum is σ = 240861600. Its totient is φ = 47623680.

The previous prime is 111116407. The next prime is 111116449. The reversal of 111116408 is 804611111.

It is a super-2 number, since 2×111116408² = 24693712253644928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111116407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104198 + ... + 105258.

Almost surely, 2^111116408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111116408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120430800).

111116408 is an abundant number, since it is smaller than the sum of its proper divisors (129745192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111116408 is a wasteful number, since it uses less digits than its factorization.

111116408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 23.

The square root of 111116408 is about 10541.1767844013. The cubic root of 111116408 is about 480.7574960835.

Adding to 111116408 its reverse (804611111), we get a palindrome (915727519).

The spelling of 111116408 in words is "one hundred eleven million, one hundred sixteen thousand, four hundred eight".