14644640000 has 90 divisors (see below), whose sum is σ = 36528799230. Its totient is φ = 5857792000.

The previous prime is 14644639993. The next prime is 14644640057. The reversal of 14644640000 is 4644641.

It can be written as a sum of positive squares in 5 ways, for example, as 10449746176 + 4194893824 = 102224^2 + 64768^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 114236 + ... + 205764.

It is an arithmetic number, because the mean of its divisors is an integer number (405875547).

Almost surely, 2^14644640000 is an apocalyptic number.

14644640000 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 14644640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18264399615).

14644640000 is an abundant number, since it is smaller than the sum of its proper divisors (21884159230).

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

14644640000 is an frugal number, since it uses more digits than its factorization.

14644640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91565 (or 91536 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

It can be divided in two parts, 1464 and 4640000, that added together give a palindrome (4641464).

The spelling of 14644640000 in words is "fourteen billion, six hundred forty-four million, six hundred forty thousand".