1109856168 has 160 divisors (see below), whose sum is σ = 3277454400. Its totient is φ = 350203392.

The previous prime is 1109856161. The next prime is 1109856179. The reversal of 1109856168 is 8616589011.

It is not an unprimeable number, because it can be changed into a prime (1109856161) 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 39 ways as a sum of consecutive naturals, for example, 1683823 + ... + 1684481.

It is an arithmetic number, because the mean of its divisors is an integer number (20484090).

Almost surely, 2^1109856168 is an apocalyptic number.

1109856168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1109856168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638727200).

1109856168 is an abundant number, since it is smaller than the sum of its proper divisors (2167598232).

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

1109856168 is a wasteful number, since it uses less digits than its factorization.

1109856168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The square root of 1109856168 is about 33314.5038684354. The cubic root of 1109856168 is about 1035.3540817505.

The spelling of 1109856168 in words is "one billion, one hundred nine million, eight hundred fifty-six thousand, one hundred sixty-eight".