13493716688704 has 112 divisors (see below), whose sum is σ = 32405237256960. Its totient is φ = 5442287984640.

The previous prime is 13493716688701. The next prime is 13493716688731. The reversal of 13493716688704 is 40788661739431.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 13493716688704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13493716688701) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79052602 + ... + 79223110.

Almost surely, 2^{13493716688704} is an apocalyptic number.

13493716688704 is a gapful number since it is divisible by the number (14) 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 13493716688704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16202618628480).

13493716688704 is an abundant number, since it is smaller than the sum of its proper divisors (18911520568256).

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

13493716688704 is a wasteful number, since it uses less digits than its factorization.

13493716688704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180936 (or 180926 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 67.

The spelling of 13493716688704 in words is "thirteen trillion, four hundred ninety-three billion, seven hundred sixteen million, six hundred eighty-eight thousand, seven hundred four".