11582144829996 has 192 divisors, whose sum is σ = 29559531456000. Its totient is φ = 3508322678784.

The previous prime is 11582144829979. The next prime is 11582144830001. The reversal of 11582144829996 is 69992844128511.

It is a self number, because there is not a number n which added to its sum of digits gives 11582144829996.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4278589275 + ... + 4278591981.

It is an arithmetic number, because the mean of its divisors is an integer number (153955893000).

Almost surely, 2^{11582144829996} 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 11582144829996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14779765728000).

11582144829996 is an abundant number, since it is smaller than the sum of its proper divisors (17977386626004).

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

11582144829996 is a wasteful number, since it uses less digits than its factorization.

11582144829996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4048 (or 4046 counting only the distinct ones).

The product of its digits is 89579520, while the sum is 69.

The spelling of 11582144829996 in words is "eleven trillion, five hundred eighty-two billion, one hundred forty-four million, eight hundred twenty-nine thousand, nine hundred ninety-six".