34653144135629 has 2 divisors, whose sum is σ = 34653144135630. Its totient is φ = 34653144135628.

The previous prime is 34653144135587. The next prime is 34653144135667. The reversal of 34653144135629 is 92653144135643.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31850108088100 + 2803036047529 = 5643590^2 + 1674227^2 .

It is a cyclic number.

It is not a de Polignac number, because 34653144135629 - 2⁸ = 34653144135373 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34653144138629) 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, 17326572067814 + 17326572067815.

It is an arithmetic number, because the mean of its divisors is an integer number (17326572067815).

Almost surely, 2^{34653144135629} is an apocalyptic number.

It is an amenable number.

34653144135629 is a deficient number, since it is larger than the sum of its proper divisors (1).

34653144135629 is an equidigital number, since it uses as much as digits as its factorization.

34653144135629 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 27993600, while the sum is 56.

The spelling of 34653144135629 in words is "thirty-four trillion, six hundred fifty-three billion, one hundred forty-four million, one hundred thirty-five thousand, six hundred twenty-nine".