1838365638201 has 12 divisors (see below), whose sum is σ = 2705519241828. Its totient is φ = 1202452995744.

The previous prime is 1838365638121. The next prime is 1838365638203. The reversal of 1838365638201 is 1028365638381.

1838365638201 is a `hidden beast` number, since 1 + 8 + 383 + 6 + 56 + 3 + 8 + 201 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1122167336976 + 716198301225 = 1059324^2 + 846285^2 .

It is not a de Polignac number, because 1838365638201 - 2¹⁰ = 1838365637177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1838365638203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1927007530 + ... + 1927008483.

It is an arithmetic number, because the mean of its divisors is an integer number (225459936819).

Almost surely, 2^{1838365638201} is an apocalyptic number.

It is an amenable number.

1838365638201 is a deficient number, since it is larger than the sum of its proper divisors (867153603627).

1838365638201 is a wasteful number, since it uses less digits than its factorization.

1838365638201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3854016072 (or 3854016069 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 1838365638201 in words is "one trillion, eight hundred thirty-eight billion, three hundred sixty-five million, six hundred thirty-eight thousand, two hundred one".