14316064496640 has 1056 divisors, whose sum is σ = 52049072275200. Its totient is φ = 3635132497920.

The previous prime is 14316064496621. The next prime is 14316064496707. The reversal of 14316064496640 is 4669446061341.

14316064496640 is a `hidden beast` number, since 1 + 4 + 31 + 6 + 0 + 64 + 496 + 64 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16249789000 + ... + 16249789880.

It is an arithmetic number, because the mean of its divisors is an integer number (49288894200).

Almost surely, 2^{14316064496640} is an apocalyptic number.

14316064496640 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 14316064496640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26024536137600).

14316064496640 is an abundant number, since it is smaller than the sum of its proper divisors (37733007778560).

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

14316064496640 is a wasteful number, since it uses less digits than its factorization.

14316064496640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 14316064496640 in words is "fourteen trillion, three hundred sixteen billion, sixty-four million, four hundred ninety-six thousand, six hundred forty".