1838376540036 has 144 divisors (see below), whose sum is σ = 5017420240560. Its totient is φ = 566338805760.

The previous prime is 1838376540031. The next prime is 1838376540067. The reversal of 1838376540036 is 6300456738381.

1838376540036 is a `hidden beast` number, since 1 + 8 + 38 + 37 + 6 + 540 + 0 + 36 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 163655847936 + 1674720692100 = 404544^2 + 1294110^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1838376540031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1863436 + ... + 2673788.

It is an arithmetic number, because the mean of its divisors is an integer number (34843196115).

Almost surely, 2^{1838376540036} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1838376540036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2508710120280).

1838376540036 is an abundant number, since it is smaller than the sum of its proper divisors (3179043700524).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1838376540036 is a wasteful number, since it uses less digits than its factorization.

1838376540036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810486 (or 810481 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 1838376540036 in words is "one trillion, eight hundred thirty-eight billion, three hundred seventy-six million, five hundred forty thousand, thirty-six".