114241342332 has 288 divisors, whose sum is σ = 320019517440. Its totient is φ = 31463562240.

The previous prime is 114241342291. The next prime is 114241342333. The reversal of 114241342332 is 233243142411.

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

It is a self number, because there is not a number n which added to its sum of digits gives 114241342332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114241342333) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115278357 + ... + 115279347.

It is an arithmetic number, because the mean of its divisors is an integer number (1111178880).

Almost surely, 2^114241342332 is an apocalyptic number.

114241342332 is a gapful number since it is divisible by the number (12) 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 114241342332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160009758720).

114241342332 is an abundant number, since it is smaller than the sum of its proper divisors (205778175108).

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

114241342332 is a wasteful number, since it uses less digits than its factorization.

114241342332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1140 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

Adding to 114241342332 its reverse (233243142411), we get a palindrome (347484484743).

The spelling of 114241342332 in words is "one hundred fourteen billion, two hundred forty-one million, three hundred forty-two thousand, three hundred thirty-two".