13680369003348 has 36 divisors (see below), whose sum is σ = 34780822559028. Its totient is φ = 4533763906560.

The previous prime is 13680369003331. The next prime is 13680369003373. The reversal of 13680369003348 is 84330096308631.

13680369003348 is a `hidden beast` number, since 136 + 80 + 3 + 6 + 90 + 0 + 3 + 348 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9602239167504 + 4078129835844 = 3098748^2 + 2019438^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13680369003294 and 13680369003303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1098289293 + ... + 1098301748.

It is an arithmetic number, because the mean of its divisors is an integer number (966133959973).

Almost surely, 2^{13680369003348} is an apocalyptic number.

13680369003348 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13680369003348 is an abundant number, since it is smaller than the sum of its proper divisors (21100453555680).

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

13680369003348 is a wasteful number, since it uses less digits than its factorization.

13680369003348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196591224 (or 2196591219 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 13680369003348 in words is "thirteen trillion, six hundred eighty billion, three hundred sixty-nine million, three thousand, three hundred forty-eight".