34125225345 has 16 divisors (see below), whose sum is σ = 60667067520. Its totient is φ = 18200120112.

The previous prime is 34125225317. The next prime is 34125225353. The reversal of 34125225345 is 54352252143.

34125225345 is a `hidden beast` number, since 3 + 41 + 2 + 522 + 53 + 45 = 666.

It is not a de Polignac number, because 34125225345 - 2¹³ = 34125217153 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126389589 + ... + 126389858.

It is an arithmetic number, because the mean of its divisors is an integer number (3791691720).

Almost surely, 2^34125225345 is an apocalyptic number.

It is an amenable number.

34125225345 is a deficient number, since it is larger than the sum of its proper divisors (26541842175).

34125225345 is a wasteful number, since it uses less digits than its factorization.

34125225345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252779461 (or 252779455 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

Adding to 34125225345 its reverse (54352252143), we get a palindrome (88477477488).

The spelling of 34125225345 in words is "thirty-four billion, one hundred twenty-five million, two hundred twenty-five thousand, three hundred forty-five".