14864728000 has 56 divisors (see below), whose sum is σ = 36812518704. Its totient is φ = 5945888000.

The previous prime is 14864727953. The next prime is 14864728001. The reversal of 14864728000 is 82746841.

14864728000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14864728001) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 921046 + ... + 937045.

Almost surely, 2^14864728000 is an apocalyptic number.

14864728000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14864728000 is an abundant number, since it is smaller than the sum of its proper divisors (21947790704).

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

14864728000 is an equidigital number, since it uses as much as digits as its factorization.

14864728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1858118 (or 1858098 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The spelling of 14864728000 in words is "fourteen billion, eight hundred sixty-four million, seven hundred twenty-eight thousand".