14688987768 has 320 divisors, whose sum is σ = 53619572160. Its totient is φ = 3645886464.

The previous prime is 14688987749. The next prime is 14688987811. The reversal of 14688987768 is 86778988641.

14688987768 is a `hidden beast` number, since 1 + 468 + 8 + 98 + 7 + 76 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 14688987696 and 14688987705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 995130 + ... + 1009782.

It is an arithmetic number, because the mean of its divisors is an integer number (167561163).

Almost surely, 2^14688987768 is an apocalyptic number.

14688987768 is a gapful number since it is divisible by the number (18) 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 14688987768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26809786080).

14688987768 is an abundant number, since it is smaller than the sum of its proper divisors (38930584392).

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

14688987768 is a wasteful number, since it uses less digits than its factorization.

14688987768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14708 (or 14695 counting only the distinct ones).

The product of its digits is 260112384, while the sum is 72.

The spelling of 14688987768 in words is "fourteen billion, six hundred eighty-eight million, nine hundred eighty-seven thousand, seven hundred sixty-eight".