199729121944393 has 2 divisors, whose sum is σ = 199729121944394. Its totient is φ = 199729121944392.

The previous prime is 199729121944327. The next prime is 199729121944421. The reversal of 199729121944393 is 393449121927991.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 185957623210384 + 13771498734009 = 13636628^2 + 3710997^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-199729121944393 is a prime.

It is not a weakly prime, because it can be changed into another prime (199729121947393) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 99864560972196 + 99864560972197.

It is an arithmetic number, because the mean of its divisors is an integer number (99864560972197).

Almost surely, 2^{199729121944393} is an apocalyptic number.

It is an amenable number.

199729121944393 is a deficient number, since it is larger than the sum of its proper divisors (1).

199729121944393 is an equidigital number, since it uses as much as digits as its factorization.

199729121944393 is an evil number, because the sum of its binary digits is even.

The product of its digits is 238085568, while the sum is 73.

The spelling of 199729121944393 in words is "one hundred ninety-nine trillion, seven hundred twenty-nine billion, one hundred twenty-one million, nine hundred forty-four thousand, three hundred ninety-three".