21936144384 has 816 divisors, whose sum is σ = 86066461440. Its totient is φ = 5449973760.

The previous prime is 21936144371. The next prime is 21936144403. The reversal of 21936144384 is 48344163912.

21936144384 is a `hidden beast` number, since 21 + 9 + 3 + 614 + 4 + 3 + 8 + 4 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 953745397 + ... + 953745419.

Almost surely, 2^21936144384 is an apocalyptic number.

21936144384 is a gapful number since it is divisible by the number (24) 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 21936144384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43033230720).

21936144384 is an abundant number, since it is smaller than the sum of its proper divisors (64130317056).

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

21936144384 is an equidigital number, since it uses as much as digits as its factorization.

21936144384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 46 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 21936144384 in words is "twenty-one billion, nine hundred thirty-six million, one hundred forty-four thousand, three hundred eighty-four".