34374508181029 has 2 divisors, whose sum is σ = 34374508181030. Its totient is φ = 34374508181028.

The previous prime is 34374508180981. The next prime is 34374508181053. The reversal of 34374508181029 is 92018180547343.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27437974468129 + 6936533712900 = 5238127^2 + 2633730^2 .

It is a cyclic number.

It is not a de Polignac number, because 34374508181029 - 2⁹ = 34374508180517 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34374508188029) 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 as a sum of consecutive naturals, namely, 17187254090514 + 17187254090515.

It is an arithmetic number, because the mean of its divisors is an integer number (17187254090515).

Almost surely, 2^{34374508181029} is an apocalyptic number.

It is an amenable number.

34374508181029 is a deficient number, since it is larger than the sum of its proper divisors (1).

34374508181029 is an equidigital number, since it uses as much as digits as its factorization.

34374508181029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5806080, while the sum is 55.

The spelling of 34374508181029 in words is "thirty-four trillion, three hundred seventy-four billion, five hundred eight million, one hundred eighty-one thousand, twenty-nine".