11984530049424 has 675 divisors, whose sum is σ = 37599606487443. Its totient is φ = 3684978468864.

The previous prime is 11984530049419. The next prime is 11984530049567. The reversal of 11984530049424 is 42494003548911.

The square root of 11984530049424 is 3461868.

It is a perfect power (a square), and thus also a powerful number.

11984530049424 is a `hidden beast` number, since 1 + 1 + 9 + 84 + 53 + 0 + 0 + 494 + 24 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 459863009424 + 11524667040000 = 678132^2 + 3394800^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 134 ways as a sum of consecutive naturals, for example, 106057787992 + ... + 106057788104.

Almost surely, 2^{11984530049424} is an apocalyptic number.

11984530049424 is the 3461868-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11984530049424

11984530049424 is an abundant number, since it is smaller than the sum of its proper divisors (25615076438019).

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

11984530049424 is an equidigital number, since it uses as much as digits as its factorization.

11984530049424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 11984530049424 in words is "eleven trillion, nine hundred eighty-four billion, five hundred thirty million, forty-nine thousand, four hundred twenty-four".