14816825120 has 48 divisors (see below), whose sum is σ = 35170728768. Its totient is φ = 5898627840.

The previous prime is 14816825077. The next prime is 14816825173. The reversal of 14816825120 is 2152861841.

14816825120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 185684 + ... + 253203.

It is an arithmetic number, because the mean of its divisors is an integer number (732723516).

Almost surely, 2^14816825120 is an apocalyptic number.

14816825120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14816825120 is an abundant number, since it is smaller than the sum of its proper divisors (20353903648).

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

14816825120 is a wasteful number, since it uses less digits than its factorization.

14816825120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439113 (or 439105 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 38.

The spelling of 14816825120 in words is "fourteen billion, eight hundred sixteen million, eight hundred twenty-five thousand, one hundred twenty".