14698800960 has 112 divisors (see below), whose sum is σ = 46855392192. Its totient is φ = 3904000000.

The previous prime is 14698800953. The next prime is 14698800973. The reversal of 14698800960 is 6900889641.

It is a happy number.

14698800960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 210460 + ... + 271460.

It is an arithmetic number, because the mean of its divisors is an integer number (418351716).

Almost surely, 2^14698800960 is an apocalyptic number.

14698800960 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 14698800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23427696096).

14698800960 is an abundant number, since it is smaller than the sum of its proper divisors (32156591232).

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

14698800960 is a wasteful number, since it uses less digits than its factorization.

14698800960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61272 (or 61262 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The spelling of 14698800960 in words is "fourteen billion, six hundred ninety-eight million, eight hundred thousand, nine hundred sixty".