14450845920 has 384 divisors, whose sum is σ = 56867069952. Its totient is φ = 3008102400.

The previous prime is 14450845901. The next prime is 14450845933. The reversal of 14450845920 is 2954805441.

14450845920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 63 ways as a sum of consecutive naturals, for example, 1766640 + ... + 1774800.

It is an arithmetic number, because the mean of its divisors is an integer number (148091328).

Almost surely, 2^14450845920 is an apocalyptic number.

14450845920 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 14450845920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28433534976).

14450845920 is an abundant number, since it is smaller than the sum of its proper divisors (42416224032).

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

14450845920 is a wasteful number, since it uses less digits than its factorization.

14450845920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8234 (or 8226 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 14450845920 in words is "fourteen billion, four hundred fifty million, eight hundred forty-five thousand, nine hundred twenty".