13716846340704 has 672 divisors, whose sum is σ = 44715135193344. Its totient is φ = 4113413176320.

The previous prime is 13716846340699. The next prime is 13716846340741. The reversal of 13716846340704 is 40704364861731.

It is a happy number.

13716846340704 is a `hidden beast` number, since 1 + 3 + 71 + 6 + 8 + 463 + 40 + 70 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 8228461279 + ... + 8228462945.

It is an arithmetic number, because the mean of its divisors is an integer number (66540379752).

Almost surely, 2^{13716846340704} 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 13716846340704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22357567596672).

13716846340704 is an abundant number, since it is smaller than the sum of its proper divisors (30998288852640).

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

13716846340704 is a wasteful number, since it uses less digits than its factorization.

13716846340704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2382 (or 2359 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 13716846340704 in words is "thirteen trillion, seven hundred sixteen billion, eight hundred forty-six million, three hundred forty thousand, seven hundred four".