14681616768 has 1008 divisors, whose sum is σ = 58145523300. Its totient is φ = 3668281344.

The previous prime is 14681616757. The next prime is 14681616773. The reversal of 14681616768 is 86761618641.

14681616768 is a `hidden beast` number, since 1 + 468 + 1 + 61 + 67 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 772716663 + ... + 772716681.

Almost surely, 2^14681616768 is an apocalyptic number.

14681616768 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 14681616768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29072761650).

14681616768 is an abundant number, since it is smaller than the sum of its proper divisors (43463906532).

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

14681616768 is an equidigital number, since it uses as much as digits as its factorization.

14681616768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 44 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 14681616768 in words is "fourteen billion, six hundred eighty-one million, six hundred sixteen thousand, seven hundred sixty-eight".