114223122233253 has 32 divisors (see below), whose sum is σ = 184604392012800. Its totient is φ = 69225622369200.

The previous prime is 114223122233183. The next prime is 114223122233279. The reversal of 114223122233253 is 352332221322411.

114223122233253 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 2 + 312 + 2 + 2 + 332 + 5 + 3 = 666.

It is not a de Polignac number, because 114223122233253 - 2⁹ = 114223122232741 is a prime.

It is a super-3 number, since 3×114223122233253³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114223126233253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40890618 + ... + 43594596.

It is an arithmetic number, because the mean of its divisors is an integer number (5768887250400).

Almost surely, 2^{114223122233253} is an apocalyptic number.

It is an amenable number.

114223122233253 is a deficient number, since it is larger than the sum of its proper divisors (70381269779547).

114223122233253 is a wasteful number, since it uses less digits than its factorization.

114223122233253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2846230 (or 2846224 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

Adding to 114223122233253 its reverse (352332221322411), we get a palindrome (466555343555664).

The spelling of 114223122233253 in words is "one hundred fourteen trillion, two hundred twenty-three billion, one hundred twenty-two million, two hundred thirty-three thousand, two hundred fifty-three".