114311314240 has 168 divisors, whose sum is σ = 287864714592. Its totient is φ = 43230551040.

The previous prime is 114311314237. The next prime is 114311314279. The reversal of 114311314240 is 42413113411.

114311314240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 104776095 + ... + 104777185.

It is an arithmetic number, because the mean of its divisors is an integer number (1713480444).

Almost surely, 2^114311314240 is an apocalyptic number.

114311314240 is a gapful number since it is divisible by the number (10) 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 114311314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143932357296).

114311314240 is an abundant number, since it is smaller than the sum of its proper divisors (173553400352).

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

114311314240 is a wasteful number, since it uses less digits than its factorization.

114311314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053 (or 2024 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 114311314240 its reverse (42413113411), we get a palindrome (156724427651).

The spelling of 114311314240 in words is "one hundred fourteen billion, three hundred eleven million, three hundred fourteen thousand, two hundred forty".