114201411324 has 576 divisors, whose sum is σ = 385495326720. Its totient is φ = 25474176000.

The previous prime is 114201411281. The next prime is 114201411341. The reversal of 114201411324 is 423114102411.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 114201411294 and 114201411303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 180984489 + ... + 180985119.

It is an arithmetic number, because the mean of its divisors is an integer number (669262720).

Almost surely, 2^114201411324 is an apocalyptic number.

114201411324 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 114201411324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192747663360).

114201411324 is an abundant number, since it is smaller than the sum of its proper divisors (271293915396).

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

114201411324 is a wasteful number, since it uses less digits than its factorization.

114201411324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 114201411324 its reverse (423114102411), we get a palindrome (537315513735).

It can be divided in two parts, 114201 and 411324, that added together give a palindrome (525525).

The spelling of 114201411324 in words is "one hundred fourteen billion, two hundred one million, four hundred eleven thousand, three hundred twenty-four".