1109745144 has 128 divisors (see below), whose sum is σ = 3186892800. Its totient is φ = 357540480.

The previous prime is 1109745127. The next prime is 1109745157. The reversal of 1109745144 is 4415479011.

1109745144 is a `hidden beast` number, since 110 + 97 + 451 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1109745099 and 1109745108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1526109 + ... + 1526835.

It is an arithmetic number, because the mean of its divisors is an integer number (24897600).

Almost surely, 2^1109745144 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 1109745144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593446400).

1109745144 is an abundant number, since it is smaller than the sum of its proper divisors (2077147656).

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

1109745144 is a wasteful number, since it uses less digits than its factorization.

1109745144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1109745144 is about 33312.8375254946. The cubic root of 1109745144 is about 1035.3195568610.

The spelling of 1109745144 in words is "one billion, one hundred nine million, seven hundred forty-five thousand, one hundred forty-four".