13786517056 has 63 divisors (see below), whose sum is σ = 29650193811. Its totient is φ = 6357371904.

The previous prime is 13786517051. The next prime is 13786517077. The reversal of 13786517056 is 65071568731.

The square root of 13786517056 is 117416.

It is a perfect power (a square), and thus also a powerful number.

13786517056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8193870400 + 5592646656 = 90520^2 + 74784^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13786517051) 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 8 ways as a sum of consecutive naturals, for example, 12210700 + ... + 12211828.

It is an arithmetic number, because the mean of its divisors is an integer number (470637997).

Almost surely, 2^13786517056 is an apocalyptic number.

13786517056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13786517056 is the 117416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13786517056

13786517056 is an abundant number, since it is smaller than the sum of its proper divisors (15863676755).

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

13786517056 is an frugal number, since it uses more digits than its factorization.

13786517056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2296 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 49.

Multiplying 13786517056 by its sum of digits (49), we get a square (675539335744 = 821912²).

The spelling of 13786517056 in words is "thirteen billion, seven hundred eighty-six million, five hundred seventeen thousand, fifty-six".