114003414144 has 128 divisors (see below), whose sum is σ = 337685932800. Its totient is φ = 37863631872.

The previous prime is 114003414143. The next prime is 114003414149. The reversal of 114003414144 is 441414300411.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (114003414143) 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, 897769 + ... + 1016855.

It is an arithmetic number, because the mean of its divisors is an integer number (2638171350).

Almost surely, 2^114003414144 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 114003414144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168842966400).

114003414144 is an abundant number, since it is smaller than the sum of its proper divisors (223682518656).

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

114003414144 is a wasteful number, since it uses less digits than its factorization.

114003414144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119387 (or 119369 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 114003414144 its reverse (441414300411), we get a palindrome (555417714555).

The spelling of 114003414144 in words is "one hundred fourteen billion, three million, four hundred fourteen thousand, one hundred forty-four".