14450315120 has 80 divisors (see below), whose sum is σ = 34590559872. Its totient is φ = 5610850560.

The previous prime is 14450315093. The next prime is 14450315149. The reversal of 14450315120 is 2151305441.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×14450315120² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14450315120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 547835 + ... + 573605.

Almost surely, 2^14450315120 is an apocalyptic number.

14450315120 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 14450315120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17295279936).

14450315120 is an abundant number, since it is smaller than the sum of its proper divisors (20140244752).

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

14450315120 is a wasteful number, since it uses less digits than its factorization.

14450315120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25990 (or 25984 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The spelling of 14450315120 in words is "fourteen billion, four hundred fifty million, three hundred fifteen thousand, one hundred twenty".