34511351137729 has 2 divisors, whose sum is σ = 34511351137730. Its totient is φ = 34511351137728.

The previous prime is 34511351137723. The next prime is 34511351137733. The reversal of 34511351137729 is 92773115311543.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30738685885504 + 3772665252225 = 5544248^2 + 1942335^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34511351137729 is a prime.

It is not a weakly prime, because it can be changed into another prime (34511351137723) 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, 17255675568864 + 17255675568865.

It is an arithmetic number, because the mean of its divisors is an integer number (17255675568865).

Almost surely, 2^{34511351137729} is an apocalyptic number.

It is an amenable number.

34511351137729 is a deficient number, since it is larger than the sum of its proper divisors (1).

34511351137729 is an equidigital number, since it uses as much as digits as its factorization.

34511351137729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2381400, while the sum is 52.

The spelling of 34511351137729 in words is "thirty-four trillion, five hundred eleven billion, three hundred fifty-one million, one hundred thirty-seven thousand, seven hundred twenty-nine".