114411324312 has 128 divisors (see below), whose sum is σ = 341654400000. Its totient is φ = 35361111168.

The previous prime is 114411324301. The next prime is 114411324337. The reversal of 114411324312 is 213423114411.

It is a happy number.

114411324312 is a `hidden beast` number, since 1 + 1 + 4 + 411 + 3 + 243 + 1 + 2 = 666.

It is a super-2 number, since 2×114411324312² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103687 + ... + 489462.

It is an arithmetic number, because the mean of its divisors is an integer number (2669175000).

Almost surely, 2^114411324312 is an apocalyptic number.

114411324312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114411324312 is an abundant number, since it is smaller than the sum of its proper divisors (227243075688).

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

114411324312 is a wasteful number, since it uses less digits than its factorization.

114411324312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593230 (or 593220 counting only the distinct ones).

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

Adding to 114411324312 its reverse (213423114411), we get a palindrome (327834438723).

The spelling of 114411324312 in words is "one hundred fourteen billion, four hundred eleven million, three hundred twenty-four thousand, three hundred twelve".