14471328000 has 144 divisors (see below), whose sum is σ = 48066834816. Its totient is φ = 3858995200.

The previous prime is 14471327953. The next prime is 14471328007. The reversal of 14471328000 is 82317441.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (14471328007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20629 + ... + 171371.

It is an arithmetic number, because the mean of its divisors is an integer number (333797464).

Almost surely, 2^14471328000 is an apocalyptic number.

14471328000 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 14471328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24033417408).

14471328000 is an abundant number, since it is smaller than the sum of its proper divisors (33595506816).

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

14471328000 is an equidigital number, since it uses as much as digits as its factorization.

14471328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150777 (or 150753 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 14471328000 in words is "fourteen billion, four hundred seventy-one million, three hundred twenty-eight thousand".