13387683552068 has 96 divisors (see below), whose sum is σ = 28028725401600. Its totient is φ = 5470606310400.

The previous prime is 13387683552049. The next prime is 13387683552097. The reversal of 13387683552068 is 86025538678331.

It is a junction number, because it is equal to n+sod(n) for n = 13387683551995 and 13387683552013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 749959343 + ... + 749977193.

It is an arithmetic number, because the mean of its divisors is an integer number (291965889600).

Almost surely, 2^{13387683552068} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13387683552068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14014362700800).

13387683552068 is an abundant number, since it is smaller than the sum of its proper divisors (14641041849532).

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

13387683552068 is a wasteful number, since it uses less digits than its factorization.

13387683552068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21537 (or 21535 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 65.

The spelling of 13387683552068 in words is "thirteen trillion, three hundred eighty-seven billion, six hundred eighty-three million, five hundred fifty-two thousand, sixty-eight".