34200432134233 has 32 divisors (see below), whose sum is σ = 36372103488000. Its totient is φ = 32156511879312.

The previous prime is 34200432134159. The next prime is 34200432134279. The reversal of 34200432134233 is 33243123400243.

It is not a de Polignac number, because 34200432134233 - 2²⁹ = 34199895263321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34200439134233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5135967858 + ... + 5135974516.

It is an arithmetic number, because the mean of its divisors is an integer number (1136628234000).

Almost surely, 2^{34200432134233} is an apocalyptic number.

It is an amenable number.

34200432134233 is a deficient number, since it is larger than the sum of its proper divisors (2171671353767).

34200432134233 is an equidigital number, since it uses as much as digits as its factorization.

34200432134233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12242 (or 12204 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 34.

Adding to 34200432134233 its reverse (33243123400243), we get a palindrome (67443555534476).

The spelling of 34200432134233 in words is "thirty-four trillion, two hundred billion, four hundred thirty-two million, one hundred thirty-four thousand, two hundred thirty-three".