114404323034232 has 256 divisors, whose sum is σ = 396324870451200. Its totient is φ = 29706451885440.

The previous prime is 114404323034207. The next prime is 114404323034233. The reversal of 114404323034232 is 232430323404411.

114404323034232 is a `hidden beast` number, since 1 + 1 + 4 + 40 + 43 + 230 + 342 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114404323034233) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 54233143 + ... + 56303129.

It is an arithmetic number, because the mean of its divisors is an integer number (1548144025200).

Almost surely, 2^{114404323034232} is an apocalyptic number.

114404323034232 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 114404323034232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198162435225600).

114404323034232 is an abundant number, since it is smaller than the sum of its proper divisors (281920547416968).

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

114404323034232 is a wasteful number, since it uses less digits than its factorization.

114404323034232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2073343 (or 2073333 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 114404323034232 its reverse (232430323404411), we get a palindrome (346834646438643).

The spelling of 114404323034232 in words is "one hundred fourteen trillion, four hundred four billion, three hundred twenty-three million, thirty-four thousand, two hundred thirty-two".