11982042104832 has 352 divisors, whose sum is σ = 37047346195200. Its totient is φ = 3818348937216.

The previous prime is 11982042104803. The next prime is 11982042104833. The reversal of 11982042104832 is 23840124028911.

11982042104832 is a `hidden beast` number, since 1 + 198 + 2 + 0 + 421 + 0 + 4 + 8 + 32 = 666.

It is not an unprimeable number, because it can be changed into a prime (11982042104833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1626002844 + ... + 1626010212.

It is an arithmetic number, because the mean of its divisors is an integer number (105248142600).

Almost surely, 2^{11982042104832} is an apocalyptic number.

11982042104832 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 11982042104832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18523673097600).

11982042104832 is an abundant number, since it is smaller than the sum of its proper divisors (25065304090368).

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

11982042104832 is a wasteful number, since it uses less digits than its factorization.

11982042104832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9978 (or 9954 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 11982042104832 in words is "eleven trillion, nine hundred eighty-two billion, forty-two million, one hundred four thousand, eight hundred thirty-two".