11743921728 has 588 divisors, whose sum is σ = 44435066832. Its totient is φ = 3043837440.

The previous prime is 11743921711. The next prime is 11743921741. The reversal of 11743921728 is 82712934711.

11743921728 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 (588).

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

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 83 ways as a sum of consecutive naturals, for example, 25147351 + ... + 25147817.

Almost surely, 2^11743921728 is an apocalyptic number.

11743921728 is a gapful number since it is divisible by the number (18) 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 11743921728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22217533416).

11743921728 is an abundant number, since it is smaller than the sum of its proper divisors (32691145104).

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

11743921728 is an equidigital number, since it uses as much as digits as its factorization.

11743921728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 490 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The spelling of 11743921728 in words is "eleven billion, seven hundred forty-three million, nine hundred twenty-one thousand, seven hundred twenty-eight".