114811144 has 64 divisors (see below), whose sum is σ = 253808640. Its totient is φ = 47673600.

The previous prime is 114811141. The next prime is 114811159. The reversal of 114811144 is 441118411.

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

It is not an unprimeable number, because it can be changed into a prime (114811141) 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, 299577 + ... + 299959.

It is an arithmetic number, because the mean of its divisors is an integer number (3965760).

Almost surely, 2^114811144 is an apocalyptic number.

114811144 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 114811144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126904320).

114811144 is an abundant number, since it is smaller than the sum of its proper divisors (138997496).

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

114811144 is a wasteful number, since it uses less digits than its factorization.

114811144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 546 counting only the distinct ones).

The product of its digits is 512, while the sum is 25.

The square root of 114811144 is about 10714.9962202513. The cubic root of 114811144 is about 486.0280654648.

Adding to 114811144 its reverse (441118411), we get a palindrome (555929555).

The spelling of 114811144 in words is "one hundred fourteen million, eight hundred eleven thousand, one hundred forty-four".