114442241144 has 64 divisors (see below), whose sum is σ = 268273036800. Its totient is φ = 44463600000.

The previous prime is 114442241141. The next prime is 114442241149. The reversal of 114442241144 is 441142244411.

It is a super-2 number, since 2×114442241144² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 114442241144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114442241141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37607 + ... + 479894.

It is an arithmetic number, because the mean of its divisors is an integer number (4191766200).

Almost surely, 2^114442241144 is an apocalyptic number.

114442241144 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 114442241144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134136518400).

114442241144 is an abundant number, since it is smaller than the sum of its proper divisors (153830795656).

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

114442241144 is a wasteful number, since it uses less digits than its factorization.

114442241144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517884 (or 517880 counting only the distinct ones).

The product of its digits is 16384, while the sum is 32.

Adding to 114442241144 its reverse (441142244411), we get a palindrome (555584485555).

The spelling of 114442241144 in words is "one hundred fourteen billion, four hundred forty-two million, two hundred forty-one thousand, one hundred forty-four".