34222411422243 has 72 divisors (see below), whose sum is σ = 55440252490896. Its totient is φ = 20174039366400.

The previous prime is 34222411422193. The next prime is 34222411422253.

34222411422243 is a `hidden beast` number, since 3 + 4 + 2 + 224 + 1 + 1 + 422 + 2 + 4 + 3 = 666.

34222411422243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34222411422243 - 2⁸ = 34222411421987 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34222411422198 and 34222411422207.

It is not an unprimeable number, because it can be changed into a prime (34222411422253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 457108633 + ... + 457183493.

It is an arithmetic number, because the mean of its divisors is an integer number (770003506818).

Almost surely, 2^{34222411422243} is an apocalyptic number.

34222411422243 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34222411422243 is a deficient number, since it is larger than the sum of its proper divisors (21217841068653).

34222411422243 is a wasteful number, since it uses less digits than its factorization.

34222411422243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78325 (or 78285 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

It can be divided in two parts, 3422241 and 1422243, that added together give a palindrome (4844484).

The spelling of 34222411422243 in words is "thirty-four trillion, two hundred twenty-two billion, four hundred eleven million, four hundred twenty-two thousand, two hundred forty-three".