14556145120 has 72 divisors (see below), whose sum is σ = 37799411832. Its totient is φ = 5293136640.

The previous prime is 14556145013. The next prime is 14556145211. The reversal of 14556145120 is 2154165541.

14556145120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 356574 + ... + 395293.

It is an arithmetic number, because the mean of its divisors is an integer number (524991831).

Almost surely, 2^14556145120 is an apocalyptic number.

14556145120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14556145120 is an abundant number, since it is smaller than the sum of its proper divisors (23243266712).

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

14556145120 is a wasteful number, since it uses less digits than its factorization.

14556145120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751904 (or 751885 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 34.

The spelling of 14556145120 in words is "fourteen billion, five hundred fifty-six million, one hundred forty-five thousand, one hundred twenty".