34217430964225 has 24 divisors (see below), whose sum is σ = 42444327264440. Its totient is φ = 27364454208000.

The previous prime is 34217430964219. The next prime is 34217430964229. The reversal of 34217430964225 is 52246903471243.

It can be written as a sum of positive squares in 12 ways, for example, as 2091853112976 + 32125577851249 = 1446324^2 + 5667943^2 .

It is not a de Polignac number, because 34217430964225 - 2¹¹ = 34217430962177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34217430964229) 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 23 ways as a sum of consecutive naturals, for example, 1744976221 + ... + 1744995829.

Almost surely, 2^{34217430964225} is an apocalyptic number.

It is an amenable number.

34217430964225 is a deficient number, since it is larger than the sum of its proper divisors (8226896300215).

34217430964225 is a wasteful number, since it uses less digits than its factorization.

34217430964225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40261 (or 40256 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 52.

The spelling of 34217430964225 in words is "thirty-four trillion, two hundred seventeen billion, four hundred thirty million, nine hundred sixty-four thousand, two hundred twenty-five".