13811330736 has 560 divisors, whose sum is σ = 50092627200. Its totient is φ = 3597737472.

The previous prime is 13811330719. The next prime is 13811330737. The reversal of 13811330736 is 63703311831.

It is a happy number.

13811330736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13811330736.

It is not an unprimeable number, because it can be changed into a prime (13811330737) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 44987895 + ... + 44988201.

It is an arithmetic number, because the mean of its divisors is an integer number (89451120).

Almost surely, 2^13811330736 is an apocalyptic number.

13811330736 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 13811330736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25046313600).

13811330736 is an abundant number, since it is smaller than the sum of its proper divisors (36281296464).

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

13811330736 is a wasteful number, since it uses less digits than its factorization.

13811330736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 13811330736 in words is "thirteen billion, eight hundred eleven million, three hundred thirty thousand, seven hundred thirty-six".