14465461120 has 64 divisors (see below), whose sum is σ = 37725283440. Its totient is φ = 5260165120.

The previous prime is 14465461117. The next prime is 14465461169. The reversal of 14465461120 is 2116456441.

14465461120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 7 ways as a sum of consecutive naturals, for example, 1020337 + ... + 1034416.

Almost surely, 2^14465461120 is an apocalyptic number.

14465461120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14465461120 is an abundant number, since it is smaller than the sum of its proper divisors (23259822320).

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

14465461120 is a wasteful number, since it uses less digits than its factorization.

14465461120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054783 (or 2054771 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 14465461120 in words is "fourteen billion, four hundred sixty-five million, four hundred sixty-one thousand, one hundred twenty".