14637683664 has 400 divisors, whose sum is σ = 46159505920. Its totient is φ = 4467778560.

The previous prime is 14637683639. The next prime is 14637683693. The reversal of 14637683664 is 46638673641.

14637683664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 14637683664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 63919902 + ... + 63920130.

Almost surely, 2^14637683664 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 14637683664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23079752960).

14637683664 is an abundant number, since it is smaller than the sum of its proper divisors (31521822256).

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

14637683664 is a wasteful number, since it uses less digits than its factorization.

14637683664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 345 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The spelling of 14637683664 in words is "fourteen billion, six hundred thirty-seven million, six hundred eighty-three thousand, six hundred sixty-four".