34214123344233 has 64 divisors (see below), whose sum is σ = 55918045440000. Its totient is φ = 18171557314560.

The previous prime is 34214123344153. The next prime is 34214123344267. The reversal of 34214123344233 is 33244332141243.

It is not a de Polignac number, because 34214123344233 - 2¹⁴ = 34214123327849 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34214123344191 and 34214123344200.

It is not an unprimeable number, because it can be changed into a prime (34214123344273) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 835264873 + ... + 835305833.

It is an arithmetic number, because the mean of its divisors is an integer number (873719460000).

Almost surely, 2^{34214123344233} is an apocalyptic number.

It is an amenable number.

34214123344233 is a deficient number, since it is larger than the sum of its proper divisors (21703922095767).

34214123344233 is a wasteful number, since it uses less digits than its factorization.

34214123344233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80542.

The product of its digits is 497664, while the sum is 39.

Adding to 34214123344233 its reverse (33244332141243), we get a palindrome (67458455485476).

The spelling of 34214123344233 in words is "thirty-four trillion, two hundred fourteen billion, one hundred twenty-three million, three hundred forty-four thousand, two hundred thirty-three".