14661423857664 has 288 divisors, whose sum is σ = 43486377984000. Its totient is φ = 4882048745472.

The previous prime is 14661423857627. The next prime is 14661423857671. The reversal of 14661423857664 is 46675832416641.

14661423857664 is a `hidden beast` number, since 1 + 4 + 6 + 6 + 1 + 423 + 85 + 76 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 5092538977 + ... + 5092541855.

It is an arithmetic number, because the mean of its divisors is an integer number (150994368000).

Almost surely, 2^{14661423857664} 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 14661423857664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21743188992000).

14661423857664 is an abundant number, since it is smaller than the sum of its proper divisors (28824954126336).

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

14661423857664 is an frugal number, since it uses more digits than its factorization.

14661423857664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4361 (or 4323 counting only the distinct ones).

The product of its digits is 139345920, while the sum is 63.

The spelling of 14661423857664 in words is "fourteen trillion, six hundred sixty-one billion, four hundred twenty-three million, eight hundred fifty-seven thousand, six hundred sixty-four".