13683167407460 has 96 divisors (see below), whose sum is σ = 29184742540800. Its totient is φ = 5388278837760.

The previous prime is 13683167407451. The next prime is 13683167407471. The reversal of 13683167407460 is 6470476138631.

13683167407460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13683167407396 and 13683167407405.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245089109 + ... + 245144931.

It is an arithmetic number, because the mean of its divisors is an integer number (304007734800).

Almost surely, 2^{13683167407460} is an apocalyptic number.

13683167407460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13683167407460 is an abundant number, since it is smaller than the sum of its proper divisors (15501575133340).

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

13683167407460 is a wasteful number, since it uses less digits than its factorization.

13683167407460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56661 (or 56659 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 56.

The spelling of 13683167407460 in words is "thirteen trillion, six hundred eighty-three billion, one hundred sixty-seven million, four hundred seven thousand, four hundred sixty".