11985841474992 has 480 divisors, whose sum is σ = 43645811489280. Its totient is φ = 2979244154880.

The previous prime is 11985841474969. The next prime is 11985841475033. The reversal of 11985841474992 is 29947414858911.

11985841474992 is a `hidden beast` number, since 1 + 1 + 9 + 8 + 58 + 41 + 47 + 499 + 2 = 666.

It is a super-2 number, since 2×11985841474992² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 11985841474992.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36170443 + ... + 36500309.

It is an arithmetic number, because the mean of its divisors is an integer number (90928773936).

Almost surely, 2^{11985841474992} is an apocalyptic number.

11985841474992 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 11985841474992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21822905744640).

11985841474992 is an abundant number, since it is smaller than the sum of its proper divisors (31659970014288).

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

11985841474992 is a wasteful number, since it uses less digits than its factorization.

11985841474992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330041 (or 330032 counting only the distinct ones).

The product of its digits is 209018880, while the sum is 72.

The spelling of 11985841474992 in words is "eleven trillion, nine hundred eighty-five billion, eight hundred forty-one million, four hundred seventy-four thousand, nine hundred ninety-two".