34112218611745 has 32 divisors (see below), whose sum is σ = 42509914560000. Its totient is φ = 26246911891200.

The previous prime is 34112218611739. The next prime is 34112218611797. The reversal of 34112218611745 is 54711681221143.

It is not a de Polignac number, because 34112218611745 - 2³⁷ = 33974779658273 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34112218611695 and 34112218611704.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 278863606 + ... + 278985904.

It is an arithmetic number, because the mean of its divisors is an integer number (1328434830000).

Almost surely, 2^{34112218611745} is an apocalyptic number.

It is an amenable number.

34112218611745 is a deficient number, since it is larger than the sum of its proper divisors (8397695948255).

34112218611745 is a wasteful number, since it uses less digits than its factorization.

34112218611745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129753.

The product of its digits is 322560, while the sum is 46.

Adding to 34112218611745 its reverse (54711681221143), we get a palindrome (88823899832888).

The spelling of 34112218611745 in words is "thirty-four trillion, one hundred twelve billion, two hundred eighteen million, six hundred eleven thousand, seven hundred forty-five".