3827814161201 has 2 divisors, whose sum is σ = 3827814161202. Its totient is φ = 3827814161200.

The previous prime is 3827814161137. The next prime is 3827814161251. The reversal of 3827814161201 is 1021614187283.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3814986333601 + 12827827600 = 1953199^2 + 113260^2 .

It is an emirp because it is prime and its reverse (1021614187283) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3827814161201 - 2⁶ = 3827814161137 is a prime.

It is a super-2 number, since 2×3827814161201² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3827814161251) 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, 1913907080600 + 1913907080601.

It is an arithmetic number, because the mean of its divisors is an integer number (1913907080601).

Almost surely, 2^{3827814161201} is an apocalyptic number.

It is an amenable number.

3827814161201 is a deficient number, since it is larger than the sum of its proper divisors (1).

3827814161201 is an equidigital number, since it uses as much as digits as its factorization.

3827814161201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 129024, while the sum is 44.

The spelling of 3827814161201 in words is "three trillion, eight hundred twenty-seven billion, eight hundred fourteen million, one hundred sixty-one thousand, two hundred one".