34233122133243 has 24 divisors (see below), whose sum is σ = 53945027725680. Its totient is φ = 20746605908160.

The previous prime is 34233122133209. The next prime is 34233122133257.

34233122133243 is a `hidden beast` number, since 3 + 4 + 2 + 3 + 312 + 2 + 1 + 332 + 4 + 3 = 666.

34233122133243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34233122133243 - 2¹⁴ = 34233122116859 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34233122133198 and 34233122133207.

It is not an unprimeable number, because it can be changed into a prime (34233122133043) 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 23 ways as a sum of consecutive naturals, for example, 3380796 + ... + 8938457.

It is an arithmetic number, because the mean of its divisors is an integer number (2247709488570).

Almost surely, 2^{34233122133243} is an apocalyptic number.

34233122133243 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34233122133243 is a deficient number, since it is larger than the sum of its proper divisors (19711905592437).

34233122133243 is a wasteful number, since it uses less digits than its factorization.

34233122133243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12347339 (or 12347336 counting only the distinct ones).

The product of its digits is 186624, while the sum is 36.

It can be divided in two parts, 3423312 and 2133243, that added together give a palindrome (5556555).

The spelling of 34233122133243 in words is "thirty-four trillion, two hundred thirty-three billion, one hundred twenty-two million, one hundred thirty-three thousand, two hundred forty-three".