1836381820201 has 2 divisors, whose sum is σ = 1836381820202. Its totient is φ = 1836381820200.

The previous prime is 1836381820157. The next prime is 1836381820211. The reversal of 1836381820201 is 1020281836381.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1114553164176 + 721828656025 = 1055724^2 + 849605^2 .

It is a cyclic number.

It is not a de Polignac number, because 1836381820201 - 2¹¹ = 1836381818153 is a prime.

It is not a weakly prime, because it can be changed into another prime (1836381820211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 918190910100 + 918190910101.

It is an arithmetic number, because the mean of its divisors is an integer number (918190910101).

Almost surely, 2^{1836381820201} is an apocalyptic number.

It is an amenable number.

1836381820201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1836381820201 is an equidigital number, since it uses as much as digits as its factorization.

1836381820201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 110592, while the sum is 43.

The spelling of 1836381820201 in words is "one trillion, eight hundred thirty-six billion, three hundred eighty-one million, eight hundred twenty thousand, two hundred one".