14718919680 has 528 divisors, whose sum is σ = 53513656560. Its totient is φ = 3737124864.

The previous prime is 14718919669. The next prime is 14718919697. The reversal of 14718919680 is 8691981741.

14718919680 is a `hidden beast` number, since 1 + 471 + 8 + 9 + 1 + 96 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 17842176 + 14701077504 = 4224^2 + 121248^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151741392 + ... + 151741488.

Almost surely, 2^14718919680 is an apocalyptic number.

14718919680 is a gapful number since it is divisible by the number (10) 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 14718919680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26756828280).

14718919680 is an abundant number, since it is smaller than the sum of its proper divisors (38794736880).

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

14718919680 is a wasteful number, since it uses less digits than its factorization.

14718919680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 54.

The spelling of 14718919680 in words is "fourteen billion, seven hundred eighteen million, nine hundred nineteen thousand, six hundred eighty".