34122324443985 has 24 divisors (see below), whose sum is σ = 59809917009960. Its totient is φ = 17994094685952.

The previous prime is 34122324443953. The next prime is 34122324443989. The reversal of 34122324443985 is 58934442322143.

34122324443985 is a `hidden beast` number, since 3 + 4 + 1 + 2 + 2 + 3 + 244 + 4 + 398 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 112444867584 + 34009879576401 = 335328^2 + 5831799^2 .

It is not a de Polignac number, because 34122324443985 - 2⁵ = 34122324443953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34122324443989) 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 23 ways as a sum of consecutive naturals, for example, 4259961594 + ... + 4259969603.

It is an arithmetic number, because the mean of its divisors is an integer number (2492079875415).

Almost surely, 2^{34122324443985} is an apocalyptic number.

It is an amenable number.

34122324443985 is a deficient number, since it is larger than the sum of its proper divisors (25687592565975).

34122324443985 is a wasteful number, since it uses less digits than its factorization.

34122324443985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8519931297 (or 8519931294 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 54.

The spelling of 34122324443985 in words is "thirty-four trillion, one hundred twenty-two billion, three hundred twenty-four million, four hundred forty-three thousand, nine hundred eighty-five".