14140688500 has 48 divisors (see below), whose sum is σ = 30975274512. Its totient is φ = 5639424000.

The previous prime is 14140688473. The next prime is 14140688537. The reversal of 14140688500 is 588604141.

14140688500 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 8 ways, for example, as 2160948196 + 11979740304 = 46486^2 + 109452^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 14140688500.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 126540 + ... + 210460.

It is an arithmetic number, because the mean of its divisors is an integer number (645318219).

Almost surely, 2^14140688500 is an apocalyptic number.

14140688500 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 14140688500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15487637256).

14140688500 is an abundant number, since it is smaller than the sum of its proper divisors (16834586012).

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

14140688500 is a wasteful number, since it uses less digits than its factorization.

14140688500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84277 (or 84265 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The spelling of 14140688500 in words is "fourteen billion, one hundred forty million, six hundred eighty-eight thousand, five hundred".