13806916032 has 336 divisors, whose sum is σ = 45782910720. Its totient is φ = 3595198464.

The previous prime is 13806916001. The next prime is 13806916043. The reversal of 13806916032 is 23061960831.

13806916032 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 (336).

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 20214763 + ... + 20215445.

Almost surely, 2^13806916032 is an apocalyptic number.

13806916032 is a gapful number since it is divisible by the number (12) 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 13806916032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22891455360).

13806916032 is an abundant number, since it is smaller than the sum of its proper divisors (31975994688).

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

13806916032 is a wasteful number, since it uses less digits than its factorization.

13806916032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 13806916032 in words is "thirteen billion, eight hundred six million, nine hundred sixteen thousand, thirty-two".