34456112129 has 2 divisors, whose sum is σ = 34456112130. Its totient is φ = 34456112128.

The previous prime is 34456112107. The next prime is 34456112149. The reversal of 34456112129 is 92121165443.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33682159729 + 773952400 = 183527^2 + 27820^2 .

It is a cyclic number.

It is not a de Polignac number, because 34456112129 - 2¹² = 34456108033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34456112092 and 34456112101.

It is not a weakly prime, because it can be changed into another prime (34456112149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17228056064 + 17228056065.

It is an arithmetic number, because the mean of its divisors is an integer number (17228056065).

Almost surely, 2^34456112129 is an apocalyptic number.

It is an amenable number.

34456112129 is a deficient number, since it is larger than the sum of its proper divisors (1).

34456112129 is an equidigital number, since it uses as much as digits as its factorization.

34456112129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 51840, while the sum is 38.

The spelling of 34456112129 in words is "thirty-four billion, four hundred fifty-six million, one hundred twelve thousand, one hundred twenty-nine".