14361606468768 has 192 divisors, whose sum is σ = 42741337564800. Its totient is φ = 4185851904000.

The previous prime is 14361606468731. The next prime is 14361606468791. The reversal of 14361606468768 is 86786460616341.

14361606468768 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 = 14361606468699 and 14361606468708.

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, 213398068 + ... + 213465356.

It is an arithmetic number, because the mean of its divisors is an integer number (222611133150).

Almost surely, 2^{14361606468768} 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 14361606468768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21370668782400).

14361606468768 is an abundant number, since it is smaller than the sum of its proper divisors (28379731096032).

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

14361606468768 is a wasteful number, since it uses less digits than its factorization.

14361606468768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76335 (or 76327 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 66.

The spelling of 14361606468768 in words is "fourteen trillion, three hundred sixty-one billion, six hundred six million, four hundred sixty-eight thousand, seven hundred sixty-eight".