114033101232232 has 128 divisors (see below), whose sum is σ = 263437047014400. Its totient is φ = 45063370211328.

The previous prime is 114033101232209. The next prime is 114033101232283. The reversal of 114033101232232 is 232232101330411.

114033101232232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 114033101232232.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7780104648 + ... + 7780119304.

It is an arithmetic number, because the mean of its divisors is an integer number (2058101929800).

Almost surely, 2^{114033101232232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114033101232232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131718523507200).

114033101232232 is an abundant number, since it is smaller than the sum of its proper divisors (149403945782168).

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

114033101232232 is a wasteful number, since it uses less digits than its factorization.

114033101232232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25475 (or 25471 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 114033101232232 its reverse (232232101330411), we get a palindrome (346265202562643).

The spelling of 114033101232232 in words is "one hundred fourteen trillion, thirty-three billion, one hundred one million, two hundred thirty-two thousand, two hundred thirty-two".