1838201828211 has 64 divisors (see below), whose sum is σ = 3151375718400. Its totient is φ = 1050183403200.

The previous prime is 1838201828189. The next prime is 1838201828233. The reversal of 1838201828211 is 1128281028381.

1838201828211 is a `hidden beast` number, since 1 + 8 + 382 + 0 + 182 + 82 + 11 = 666.

It is an interprime number because it is at equal distance from previous prime (1838201828189) and next prime (1838201828233).

It is not a de Polignac number, because 1838201828211 - 2⁹ = 1838201827699 is a prime.

It is a super-3 number, since 3×1838201828211³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1838201828011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100280095 + ... + 100298423.

It is an arithmetic number, because the mean of its divisors is an integer number (49240245600).

Almost surely, 2^{1838201828211} is an apocalyptic number.

1838201828211 is a deficient number, since it is larger than the sum of its proper divisors (1313173890189).

1838201828211 is an frugal number, since it uses more digits than its factorization.

1838201828211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24908 (or 24890 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 45.

The spelling of 1838201828211 in words is "one trillion, eight hundred thirty-eight billion, two hundred one million, eight hundred twenty-eight thousand, two hundred eleven".