34222205511 has 64 divisors (see below), whose sum is σ = 55067443200. Its totient is φ = 20880156672.

The previous prime is 34222205497. The next prime is 34222205587. The reversal of 34222205511 is 11550222243.

34222205511 is a `hidden beast` number, since 3 + 422 + 220 + 5 + 5 + 11 = 666.

It is not a de Polignac number, because 34222205511 - 2⁶ = 34222205447 is a prime.

It is a super-2 number, since 2×34222205511² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34222205911) 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 63 ways as a sum of consecutive naturals, for example, 25944910 + ... + 25946228.

It is an arithmetic number, because the mean of its divisors is an integer number (860428800).

Almost surely, 2^34222205511 is an apocalyptic number.

34222205511 is a deficient number, since it is larger than the sum of its proper divisors (20845237689).

34222205511 is a wasteful number, since it uses less digits than its factorization.

34222205511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 34222205511 its reverse (11550222243), we get a palindrome (45772427754).

The spelling of 34222205511 in words is "thirty-four billion, two hundred twenty-two million, two hundred five thousand, five hundred eleven".