114331133430 has 192 divisors, whose sum is σ = 326853491328. Its totient is φ = 27610398720.

The previous prime is 114331133419. The next prime is 114331133437. The reversal of 114331133430 is 34331133411.

114331133430 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 311 + 3 + 343 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 114331133394 and 114331133403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114331133437) 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, 4566807 + ... + 4591773.

It is an arithmetic number, because the mean of its divisors is an integer number (1702361934).

Almost surely, 2^114331133430 is an apocalyptic number.

114331133430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114331133430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163426745664).

114331133430 is an abundant number, since it is smaller than the sum of its proper divisors (212522357898).

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

114331133430 is a wasteful number, since it uses less digits than its factorization.

114331133430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25111 (or 25108 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 114331133430 its reverse (34331133411), we get a palindrome (148662266841).

The spelling of 114331133430 in words is "one hundred fourteen billion, three hundred thirty-one million, one hundred thirty-three thousand, four hundred thirty".