21744134112 has 96 divisors (see below), whose sum is σ = 59301758880. Its totient is φ = 6967869440.

The previous prime is 21744134029. The next prime is 21744134119. The reversal of 21744134112 is 21143144712.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 21744134112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21744134119) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 631912 + ... + 665432.

It is an arithmetic number, because the mean of its divisors is an integer number (617726655).

Almost surely, 2^21744134112 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 21744134112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29650879440).

21744134112 is an abundant number, since it is smaller than the sum of its proper divisors (37557624768).

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

21744134112 is a wasteful number, since it uses less digits than its factorization.

21744134112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33796 (or 33788 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

Adding to 21744134112 its reverse (21143144712), we get a palindrome (42887278824).

The spelling of 21744134112 in words is "twenty-one billion, seven hundred forty-four million, one hundred thirty-four thousand, one hundred twelve".