114283213344 has 144 divisors (see below), whose sum is σ = 330856475040. Its totient is φ = 37408496640.

The previous prime is 114283213301. The next prime is 114283213397. The reversal of 114283213344 is 443312382411.

114283213344 is a `hidden beast` number, since 1 + 14 + 283 + 21 + 3 + 344 = 666.

114283213344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 114283213299 and 114283213308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18637159 + ... + 18643289.

It is an arithmetic number, because the mean of its divisors is an integer number (2297614410).

Almost surely, 2^114283213344 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 114283213344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165428237520).

114283213344 is an abundant number, since it is smaller than the sum of its proper divisors (216573261696).

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

114283213344 is a wasteful number, since it uses less digits than its factorization.

114283213344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7303 (or 7292 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

Adding to 114283213344 its reverse (443312382411), we get a palindrome (557595595755).

The spelling of 114283213344 in words is "one hundred fourteen billion, two hundred eighty-three million, two hundred thirteen thousand, three hundred forty-four".