14641968016 has 75 divisors (see below), whose sum is σ = 30905448791. Its totient is φ = 6720078144.

The previous prime is 14641968001. The next prime is 14641968041. The reversal of 14641968016 is 61086914641.

The square root of 14641968016 is 121004.

It is a perfect power (a square), and thus also a powerful number.

14641968016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7259721616 + 7382246400 = 85204^2 + 85920^2 .

It is a Duffinian 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 14 ways as a sum of consecutive naturals, for example, 81798615 + ... + 81798793.

Almost surely, 2^14641968016 is an apocalyptic number.

14641968016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14641968016 is the 121004-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14641968016

14641968016 is an abundant number, since it is smaller than the sum of its proper divisors (16263480775).

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

14641968016 is an frugal number, since it uses more digits than its factorization.

14641968016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The spelling of 14641968016 in words is "fourteen billion, six hundred forty-one million, nine hundred sixty-eight thousand, sixteen".