14114013144 has 128 divisors (see below), whose sum is σ = 44928000000. Its totient is φ = 3587955840.

The previous prime is 14114013101. The next prime is 14114013149. The reversal of 14114013144 is 44131041141.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14114013149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5607 + ... + 168105.

It is an arithmetic number, because the mean of its divisors is an integer number (351000000).

Almost surely, 2^14114013144 is an apocalyptic number.

14114013144 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 14114013144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22464000000).

14114013144 is an abundant number, since it is smaller than the sum of its proper divisors (30813986856).

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

14114013144 is a wasteful number, since it uses less digits than its factorization.

14114013144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162573 (or 162569 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 14114013144 its reverse (44131041141), we get a palindrome (58245054285).

The spelling of 14114013144 in words is "fourteen billion, one hundred fourteen million, thirteen thousand, one hundred forty-four".