34054100606629 has 2 divisors, whose sum is σ = 34054100606630. Its totient is φ = 34054100606628.

The previous prime is 34054100606611. The next prime is 34054100606633. The reversal of 34054100606629 is 92660600145043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26398376064225 + 7655724542404 = 5137935^2 + 2766898^2 .

It is a cyclic number.

It is not a de Polignac number, because 34054100606629 - 2³³ = 34045510672037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34054100606329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17027050303314 + 17027050303315.

It is an arithmetic number, because the mean of its divisors is an integer number (17027050303315).

Almost surely, 2^{34054100606629} is an apocalyptic number.

It is an amenable number.

34054100606629 is a deficient number, since it is larger than the sum of its proper divisors (1).

34054100606629 is an equidigital number, since it uses as much as digits as its factorization.

34054100606629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 933120, while the sum is 46.

The spelling of 34054100606629 in words is "thirty-four trillion, fifty-four billion, one hundred million, six hundred six thousand, six hundred twenty-nine".