34232222223243 has 96 divisors (see below), whose sum is σ = 57208536133632. Its totient is φ = 19494350668800.

The previous prime is 34232222223239. The next prime is 34232222223259.

It is a happy number.

34232222223243 is a `hidden beast` number, since 3 + 4 + 2 + 322 + 2 + 2 + 2 + 2 + 324 + 3 = 666.

34232222223243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34232222223243 - 2² = 34232222223239 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34232222223198 and 34232222223207.

It is not an unprimeable number, because it can be changed into a prime (34232222223223) 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 95 ways as a sum of consecutive naturals, for example, 4719729205 + ... + 4719736457.

It is an arithmetic number, because the mean of its divisors is an integer number (595922251392).

Almost surely, 2^{34232222223243} is an apocalyptic number.

34232222223243 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34232222223243 is a deficient number, since it is larger than the sum of its proper divisors (22976313910389).

34232222223243 is a wasteful number, since it uses less digits than its factorization.

34232222223243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11505 (or 11502 counting only the distinct ones).

The product of its digits is 331776, while the sum is 36.

It can be divided in two parts, 3423222 and 2223243, that added together give a palindrome (5646465).

The spelling of 34232222223243 in words is "thirty-four trillion, two hundred thirty-two billion, two hundred twenty-two million, two hundred twenty-three thousand, two hundred forty-three".