11304082243584 has 192 divisors, whose sum is σ = 35167731171300. Its totient is φ = 3478177972224.

The previous prime is 11304082243583. The next prime is 11304082243621. The reversal of 11304082243584 is 48534228040311.

11304082243584 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 4 + 0 + 8 + 22 + 43 + 584 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10918530662400 + 385551581184 = 3304320^2 + 620928^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×11304082243584³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (11304082243583) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2359612 + ... + 5308100.

Almost surely, 2^{11304082243584} 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 11304082243584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17583865585650).

11304082243584 is an abundant number, since it is smaller than the sum of its proper divisors (23863648927716).

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

11304082243584 is an equidigital number, since it uses as much as digits as its factorization.

11304082243584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2948538 (or 2948507 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 11304082243584 in words is "eleven trillion, three hundred four billion, eighty-two million, two hundred forty-three thousand, five hundred eighty-four".