34221344312243 has 24 divisors (see below), whose sum is σ = 39207879093168. Its totient is φ = 29613200616000.

The previous prime is 34221344312213. The next prime is 34221344312251.

34221344312243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34221344312243 - 2¹⁶ = 34221344246707 is a prime.

It is a super-2 number, since 2×34221344312243² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 34221344312197 and 34221344312206.

It is not an unprimeable number, because it can be changed into a prime (34221344312213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25890296 + ... + 27179957.

It is an arithmetic number, because the mean of its divisors is an integer number (1633661628882).

Almost surely, 2^{34221344312243} is an apocalyptic number.

34221344312243 is a deficient number, since it is larger than the sum of its proper divisors (4986534780925).

34221344312243 is a wasteful number, since it uses less digits than its factorization.

34221344312243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53070387 (or 53070356 counting only the distinct ones).

The product of its digits is 331776, while the sum is 38.

It can be divided in two parts, 3422134 and 4312243, that added together give a palindrome (7734377).

The spelling of 34221344312243 in words is "thirty-four trillion, two hundred twenty-one billion, three hundred forty-four million, three hundred twelve thousand, two hundred forty-three".