14973984000 has 720 divisors, whose sum is σ = 57295077840. Its totient is φ = 3881779200.

The previous prime is 14973983989. The next prime is 14973984073. The reversal of 14973984000 is 48937941.

It can be written as a sum of positive squares in 8 ways, for example, as 2163366144 + 12810617856 = 46512^2 + 113184^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 137375946 + ... + 137376054.

It is an arithmetic number, because the mean of its divisors is an integer number (79576497).

Almost surely, 2^14973984000 is an apocalyptic number.

14973984000 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 14973984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28647538920).

14973984000 is an abundant number, since it is smaller than the sum of its proper divisors (42321093840).

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

14973984000 is an equidigital number, since it uses as much as digits as its factorization.

14973984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 14973984000 in words is "fourteen billion, nine hundred seventy-three million, nine hundred eighty-four thousand".