114314312224 has 96 divisors (see below), whose sum is σ = 268504104960. Its totient is φ = 46841870592.

The previous prime is 114314312213. The next prime is 114314312243. The reversal of 114314312224 is 422213413411.

It is a happy number.

114314312224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 114314312192 and 114314312201.

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 15 ways as a sum of consecutive naturals, for example, 23897737 + ... + 23902519.

It is an arithmetic number, because the mean of its divisors is an integer number (2796917760).

Almost surely, 2^114314312224 is an apocalyptic number.

114314312224 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 114314312224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134252052480).

114314312224 is an abundant number, since it is smaller than the sum of its proper divisors (154189792736).

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

114314312224 is a wasteful number, since it uses less digits than its factorization.

114314312224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9462 (or 9454 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

Adding to 114314312224 its reverse (422213413411), we get a palindrome (536527725635).

The spelling of 114314312224 in words is "one hundred fourteen billion, three hundred fourteen million, three hundred twelve thousand, two hundred twenty-four".