14738306688 has 768 divisors, whose sum is σ = 54991872000. Its totient is φ = 3692666880.

The previous prime is 14738306683. The next prime is 14738306699. The reversal of 14738306688 is 88660383741.

14738306688 is a `hidden beast` number, since 1 + 473 + 8 + 30 + 66 + 88 = 666.

14738306688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14738306683) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 137741131 + ... + 137741237.

It is an arithmetic number, because the mean of its divisors is an integer number (71604000).

Almost surely, 2^14738306688 is an apocalyptic number.

14738306688 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 14738306688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27495936000).

14738306688 is an abundant number, since it is smaller than the sum of its proper divisors (40253565312).

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

14738306688 is a wasteful number, since it uses less digits than its factorization.

14738306688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 14738306688 in words is "fourteen billion, seven hundred thirty-eight million, three hundred six thousand, six hundred eighty-eight".