13813514736 has 120 divisors (see below), whose sum is σ = 41568745680. Its totient is φ = 3941231616.

The previous prime is 13813514681. The next prime is 13813514749. The reversal of 13813514736 is 63741531831.

13813514736 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 (42).

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 23 ways as a sum of consecutive naturals, for example, 1870860 + ... + 1878228.

It is an arithmetic number, because the mean of its divisors is an integer number (346406214).

Almost surely, 2^13813514736 is an apocalyptic number.

13813514736 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 13813514736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20784372840).

13813514736 is an abundant number, since it is smaller than the sum of its proper divisors (27755230944).

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

13813514736 is a wasteful number, since it uses less digits than its factorization.

13813514736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8191 (or 8178 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The spelling of 13813514736 in words is "thirteen billion, eight hundred thirteen million, five hundred fourteen thousand, seven hundred thirty-six".