1113984144 has 320 divisors, whose sum is σ = 4033075200. Its totient is φ = 286530048.

The previous prime is 1113984121. The next prime is 1113984149. The reversal of 1113984144 is 4414893111.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1113984099 and 1113984108.

It is not an unprimeable number, because it can be changed into a prime (1113984149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1690087 + ... + 1690745.

It is an arithmetic number, because the mean of its divisors is an integer number (12603360).

Almost surely, 2^1113984144 is an apocalyptic number.

1113984144 is a gapful number since it is divisible by the number (14) 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 1113984144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016537600).

1113984144 is an abundant number, since it is smaller than the sum of its proper divisors (2919091056).

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

1113984144 is a wasteful number, since it uses less digits than its factorization.

1113984144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 727 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 1113984144 is about 33376.4010043024. The cubic root of 1113984144 is about 1036.6361184305.

The spelling of 1113984144 in words is "one billion, one hundred thirteen million, nine hundred eighty-four thousand, one hundred forty-four".