13682738538 has 192 divisors, whose sum is σ = 36341760000. Its totient is φ = 3856153392.

The previous prime is 13682738519. The next prime is 13682738543. The reversal of 13682738538 is 83583728631.

13682738538 is a `hidden beast` number, since 1 + 36 + 8 + 2 + 73 + 8 + 538 = 666.

13682738538 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 (54).

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 95 ways as a sum of consecutive naturals, for example, 13168623 + ... + 13169661.

It is an arithmetic number, because the mean of its divisors is an integer number (189280000).

Almost surely, 2^13682738538 is an apocalyptic number.

13682738538 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13682738538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18170880000).

13682738538 is an abundant number, since it is smaller than the sum of its proper divisors (22659021462).

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

13682738538 is an equidigital number, since it uses as much as digits as its factorization.

13682738538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1130 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 13682738538 in words is "thirteen billion, six hundred eighty-two million, seven hundred thirty-eight thousand, five hundred thirty-eight".