189813829196129 has 2 divisors, whose sum is σ = 189813829196130. Its totient is φ = 189813829196128.

The previous prime is 189813829196093. The next prime is 189813829196137. The reversal of 189813829196129 is 921691928318981.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122739809440000 + 67074019756129 = 11078800^2 + 8189873^2 .

It is a cyclic number.

It is not a de Polignac number, because 189813829196129 - 2⁸ = 189813829195873 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 189813829196129.

It is not a weakly prime, because it can be changed into another prime (189813829190129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 94906914598064 + 94906914598065.

It is an arithmetic number, because the mean of its divisors is an integer number (94906914598065).

Almost surely, 2^{189813829196129} is an apocalyptic number.

It is an amenable number.

189813829196129 is a deficient number, since it is larger than the sum of its proper divisors (1).

189813829196129 is an equidigital number, since it uses as much as digits as its factorization.

189813829196129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 241864704, while the sum is 77.

The spelling of 189813829196129 in words is "one hundred eighty-nine trillion, eight hundred thirteen billion, eight hundred twenty-nine million, one hundred ninety-six thousand, one hundred twenty-nine".