11438421984 has 288 divisors, whose sum is σ = 37831981824. Its totient is φ = 3239792640.

The previous prime is 11438421977. The next prime is 11438422033. The reversal of 11438421984 is 48912483411.

11438421984 is a `hidden beast` number, since 1 + 143 + 8 + 421 + 9 + 84 = 666.

11438421984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8777877 + ... + 8779179.

It is an arithmetic number, because the mean of its divisors is an integer number (131361048).

Almost surely, 2^11438421984 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 11438421984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18915990912).

11438421984 is an abundant number, since it is smaller than the sum of its proper divisors (26393559840).

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

11438421984 is a wasteful number, since it uses less digits than its factorization.

11438421984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1499 counting only the distinct ones).

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

The spelling of 11438421984 in words is "eleven billion, four hundred thirty-eight million, four hundred twenty-one thousand, nine hundred eighty-four".