14988580480 has 64 divisors (see below), whose sum is σ = 35981126280. Its totient is φ = 5970493440.

The previous prime is 14988580471. The next prime is 14988580501. The reversal of 14988580480 is 8408588941.

14988580480 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 4 ways, for example, as 14598438976 + 390141504 = 120824^2 + 19752^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 105652 + ... + 202828.

Almost surely, 2^14988580480 is an apocalyptic number.

14988580480 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 14988580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17990563140).

14988580480 is an abundant number, since it is smaller than the sum of its proper divisors (20992545800).

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

14988580480 is an equidigital number, since it uses as much as digits as its factorization.

14988580480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97437 (or 97425 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 55.

The spelling of 14988580480 in words is "fourteen billion, nine hundred eighty-eight million, five hundred eighty thousand, four hundred eighty".