11729442816 has 864 divisors, whose sum is σ = 45200347920. Its totient is φ = 3009871872.

The previous prime is 11729442799. The next prime is 11729442847. The reversal of 11729442816 is 61824492711.

It is a tau number, because it is divible by the number of its divisors (864).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product 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 (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 317011950 + ... + 317011986.

Almost surely, 2^11729442816 is an apocalyptic number.

11729442816 is a gapful number since it is divisible by the number (16) 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 11729442816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22600173960).

11729442816 is an abundant number, since it is smaller than the sum of its proper divisors (33470905104).

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

11729442816 is an equidigital number, since it uses as much as digits as its factorization.

11729442816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 62 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

11729442816 divided by its product of digits (193536) gives a palindrome (60606).

The spelling of 11729442816 in words is "eleven billion, seven hundred twenty-nine million, four hundred forty-two thousand, eight hundred sixteen".