114100002144 has 432 divisors, whose sum is σ = 355003281360. Its totient is φ = 34743582720.

The previous prime is 114100002139. The next prime is 114100002151. The reversal of 114100002144 is 441200001411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 540758199 + ... + 540758409.

It is an arithmetic number, because the mean of its divisors is an integer number (821766855).

Almost surely, 2^114100002144 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 114100002144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177501640680).

114100002144 is an abundant number, since it is smaller than the sum of its proper divisors (240903279216).

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

114100002144 is a wasteful number, since it uses less digits than its factorization.

114100002144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 114100002144 its reverse (441200001411), we get a palindrome (555300003555).

The spelling of 114100002144 in words is "one hundred fourteen billion, one hundred million, two thousand, one hundred forty-four".