13683416060160 has 1728 divisors, whose sum is σ = 63814022737920. Its totient is φ = 2620738437120.

The previous prime is 13683416060159. The next prime is 13683416060177. The reversal of 13683416060160 is 6106061438631.

13683416060160 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 34 + 1 + 6 + 0 + 601 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 623578149 + ... + 623600091.

Almost surely, 2^{13683416060160} is an apocalyptic number.

13683416060160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13683416060160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31907011368960).

13683416060160 is an abundant number, since it is smaller than the sum of its proper divisors (50130606677760).

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

13683416060160 is a wasteful number, since it uses less digits than its factorization.

13683416060160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22044 (or 22027 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

Adding to 13683416060160 its reverse (6106061438631), we get a palindrome (19789477498791).

The spelling of 13683416060160 in words is "thirteen trillion, six hundred eighty-three billion, four hundred sixteen million, sixty thousand, one hundred sixty".