14118168738688 has 128 divisors (see below), whose sum is σ = 32530919731200. Its totient is φ = 5978223912960.

The previous prime is 14118168738677. The next prime is 14118168738721. The reversal of 14118168738688 is 88683786181141.

14118168738688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×14118168738688² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26616481 + ... + 27141727.

It is an arithmetic number, because the mean of its divisors is an integer number (254147810400).

Almost surely, 2^{14118168738688} 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 14118168738688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16265459865600).

14118168738688 is an abundant number, since it is smaller than the sum of its proper divisors (18412750992512).

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

14118168738688 is a wasteful number, since it uses less digits than its factorization.

14118168738688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525628 (or 525616 counting only the distinct ones).

The product of its digits is 99090432, while the sum is 70.

The spelling of 14118168738688 in words is "fourteen trillion, one hundred eighteen billion, one hundred sixty-eight million, seven hundred thirty-eight thousand, six hundred eighty-eight".