11682174855312 has 240 divisors, whose sum is σ = 36605865074688. Its totient is φ = 3454501754880.

The previous prime is 11682174855289. The next prime is 11682174855361. The reversal of 11682174855312 is 21355847128611.

11682174855312 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 2 + 1 + 74 + 8 + 553 + 12 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4006513 + ... + 6278255.

Almost surely, 2^{11682174855312} is an apocalyptic number.

11682174855312 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 11682174855312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18302932537344).

11682174855312 is an abundant number, since it is smaller than the sum of its proper divisors (24923690219376).

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

11682174855312 is a wasteful number, since it uses less digits than its factorization.

11682174855312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271878 (or 2271869 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 54.

The spelling of 11682174855312 in words is "eleven trillion, six hundred eighty-two billion, one hundred seventy-four million, eight hundred fifty-five thousand, three hundred twelve".