38851835185201 has 2 divisors, whose sum is σ = 38851835185202. Its totient is φ = 38851835185200.

The previous prime is 38851835185183. The next prime is 38851835185213. The reversal of 38851835185201 is 10258153815883.

It is a happy number.

38851835185201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32953615794576 + 5898219390625 = 5740524^2 + 2428625^2 .

It is a cyclic number.

It is not a de Polignac number, because 38851835185201 - 2⁷ = 38851835185073 is a prime.

It is not a weakly prime, because it can be changed into another prime (38851835180201) 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, 19425917592600 + 19425917592601.

It is an arithmetic number, because the mean of its divisors is an integer number (19425917592601).

Almost surely, 2^{38851835185201} is an apocalyptic number.

It is an amenable number.

38851835185201 is a deficient number, since it is larger than the sum of its proper divisors (1).

38851835185201 is an equidigital number, since it uses as much as digits as its factorization.

38851835185201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216000, while the sum is 58.

The spelling of 38851835185201 in words is "thirty-eight trillion, eight hundred fifty-one billion, eight hundred thirty-five million, one hundred eighty-five thousand, two hundred one".