114241413132 has 72 divisors (see below), whose sum is σ = 360033553152. Its totient is φ = 29673093600.

The previous prime is 114241413127. The next prime is 114241413163. The reversal of 114241413132 is 231314142411.

It is a happy number.

114241413132 is a `hidden beast` number, since 1 + 1 + 4 + 241 + 413 + 1 + 3 + 2 = 666.

It is a super-2 number, since 2×114241413132² (a number of 23 digits) contains 22 as substring.

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 = 114241413096 and 114241413105.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20603544 + ... + 20609087.

It is an arithmetic number, because the mean of its divisors is an integer number (5000466016).

Almost surely, 2^114241413132 is an apocalyptic number.

114241413132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114241413132 is an abundant number, since it is smaller than the sum of its proper divisors (245792140020).

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

114241413132 is a wasteful number, since it uses less digits than its factorization.

114241413132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41212659 (or 41212654 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 114241413132 its reverse (231314142411), we get a palindrome (345555555543).

The spelling of 114241413132 in words is "one hundred fourteen billion, two hundred forty-one million, four hundred thirteen thousand, one hundred thirty-two".