34214011006129 has 2 divisors, whose sum is σ = 34214011006130. Its totient is φ = 34214011006128.

The previous prime is 34214011006081. The next prime is 34214011006139. The reversal of 34214011006129 is 92160011041243.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31590323757729 + 2623687248400 = 5620527^2 + 1619780^2 .

It is a cyclic number.

It is not a de Polignac number, because 34214011006129 - 2⁷ = 34214011006001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34214011006094 and 34214011006103.

It is not a weakly prime, because it can be changed into another prime (34214011006139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17107005503064 + 17107005503065.

It is an arithmetic number, because the mean of its divisors is an integer number (17107005503065).

Almost surely, 2^{34214011006129} is an apocalyptic number.

It is an amenable number.

34214011006129 is a deficient number, since it is larger than the sum of its proper divisors (1).

34214011006129 is an equidigital number, since it uses as much as digits as its factorization.

34214011006129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 34.

The spelling of 34214011006129 in words is "thirty-four trillion, two hundred fourteen billion, eleven million, six thousand, one hundred twenty-nine".