34800768146029 has 2 divisors, whose sum is σ = 34800768146030. Its totient is φ = 34800768146028.

The previous prime is 34800768146021. The next prime is 34800768146083. The reversal of 34800768146029 is 92064186700843.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30752825343529 + 4047942802500 = 5545523^2 + 2011950^2 .

It is a cyclic number.

It is not a de Polignac number, because 34800768146029 - 2³ = 34800768146021 is a prime.

It is a super-2 number, since 2×34800768146029² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34800768146021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17400384073014 + 17400384073015.

It is an arithmetic number, because the mean of its divisors is an integer number (17400384073015).

Almost surely, 2^{34800768146029} is an apocalyptic number.

It is an amenable number.

34800768146029 is a deficient number, since it is larger than the sum of its proper divisors (1).

34800768146029 is an equidigital number, since it uses as much as digits as its factorization.

34800768146029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13934592, while the sum is 58.

The spelling of 34800768146029 in words is "thirty-four trillion, eight hundred billion, seven hundred sixty-eight million, one hundred forty-six thousand, twenty-nine".