114333031332 has 192 divisors, whose sum is σ = 321541920000. Its totient is φ = 34924732416.

The previous prime is 114333031301. The next prime is 114333031333. The reversal of 114333031332 is 233130333411.

114333031332 is a `hidden beast` number, since 1 + 14 + 3 + 330 + 313 + 3 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 114333031296 and 114333031305.

It is not an unprimeable number, because it can be changed into a prime (114333031333) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 184705719 + ... + 184706337.

It is an arithmetic number, because the mean of its divisors is an integer number (1674697500).

Almost surely, 2^114333031332 is an apocalyptic number.

114333031332 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 114333031332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160770960000).

114333031332 is an abundant number, since it is smaller than the sum of its proper divisors (207208888668).

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

114333031332 is a wasteful number, since it uses less digits than its factorization.

114333031332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 114333031332 its reverse (233130333411), we get a palindrome (347463364743).

The spelling of 114333031332 in words is "one hundred fourteen billion, three hundred thirty-three million, thirty-one thousand, three hundred thirty-two".