1186389338112 has 480 divisors, whose sum is σ = 3877228555200. Its totient is φ = 358450790400.

The previous prime is 1186389338039. The next prime is 1186389338137. The reversal of 1186389338112 is 2118339836811.

1186389338112 is a `hidden beast` number, since 1 + 186 + 3 + 89 + 3 + 381 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 801072412 + ... + 801073892.

It is an arithmetic number, because the mean of its divisors is an integer number (8077559490).

Almost surely, 2^{1186389338112} is an apocalyptic number.

1186389338112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1186389338112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938614277600).

1186389338112 is an abundant number, since it is smaller than the sum of its proper divisors (2690839217088).

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

1186389338112 is a wasteful number, since it uses less digits than its factorization.

1186389338112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1965 (or 1936 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The spelling of 1186389338112 in words is "one trillion, one hundred eighty-six billion, three hundred eighty-nine million, three hundred thirty-eight thousand, one hundred twelve".