381601818039829 has 2 divisors, whose sum is σ = 381601818039830. Its totient is φ = 381601818039828.

The previous prime is 381601818039809. The next prime is 381601818039839. The reversal of 381601818039829 is 928930818106183.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 262410776013604 + 119191042026225 = 16199098^2 + 10917465^2 .

It is a cyclic number.

It is not a de Polignac number, because 381601818039829 - 2⁹ = 381601818039317 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (381601818039809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 190800909019914 + 190800909019915.

It is an arithmetic number, because the mean of its divisors is an integer number (190800909019915).

Almost surely, 2^{381601818039829} is an apocalyptic number.

It is an amenable number.

381601818039829 is a deficient number, since it is larger than the sum of its proper divisors (1).

381601818039829 is an equidigital number, since it uses as much as digits as its factorization.

381601818039829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35831808, while the sum is 67.

The spelling of 381601818039829 in words is "three hundred eighty-one trillion, six hundred one billion, eight hundred eighteen million, thirty-nine thousand, eight hundred twenty-nine".