114433311312 has 120 divisors (see below), whose sum is σ = 324582003200. Its totient is φ = 37629805824.

The previous prime is 114433311299. The next prime is 114433311331. The reversal of 114433311312 is 213113334411.

114433311312 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 33 + 311 + 312 = 666.

It is a super-2 number, since 2×114433311312² (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 congruent number.

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, 16184514 + ... + 16191582.

Almost surely, 2^114433311312 is an apocalyptic number.

114433311312 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 114433311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162291001600).

114433311312 is an abundant number, since it is smaller than the sum of its proper divisors (210148691888).

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

114433311312 is a wasteful number, since it uses less digits than its factorization.

114433311312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8585 (or 8576 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 114433311312 its reverse (213113334411), we get a palindrome (327546645723).

The spelling of 114433311312 in words is "one hundred fourteen billion, four hundred thirty-three million, three hundred eleven thousand, three hundred twelve".