34412023224233 has 16 divisors (see below), whose sum is σ = 37136733221520. Its totient is φ = 31765571475456.

The previous prime is 34412023224179. The next prime is 34412023224263. The reversal of 34412023224233 is 33242232021443.

It can be written as a sum of positive squares in 8 ways, for example, as 12389013158809 + 22023010065424 = 3519803^2 + 4692868^2 .

It is not a de Polignac number, because 34412023224233 - 2²⁴ = 34412006447017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34412023224193 and 34412023224202.

It is not an unprimeable number, because it can be changed into a prime (34412023224263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4109978 + ... + 9258291.

It is an arithmetic number, because the mean of its divisors is an integer number (2321045826345).

Almost surely, 2^{34412023224233} is an apocalyptic number.

It is an amenable number.

34412023224233 is a deficient number, since it is larger than the sum of its proper divisors (2724709997287).

34412023224233 is a wasteful number, since it uses less digits than its factorization.

34412023224233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13371196.

The product of its (nonzero) digits is 165888, while the sum is 35.

Adding to 34412023224233 its reverse (33242232021443), we get a palindrome (67654255245676).

The spelling of 34412023224233 in words is "thirty-four trillion, four hundred twelve billion, twenty-three million, two hundred twenty-four thousand, two hundred thirty-three".