14475957120 has 896 divisors, whose sum is σ = 57794342400. Its totient is φ = 3448811520.

The previous prime is 14475957047. The next prime is 14475957127. The reversal of 14475957120 is 2175957441.

14475957120 is a `hidden beast` number, since 1 + 4 + 4 + 7 + 59 + 571 + 20 = 666.

14475957120 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14475957127) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 203886685 + ... + 203886755.

Almost surely, 2^14475957120 is an apocalyptic number.

14475957120 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 14475957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28897171200).

14475957120 is an abundant number, since it is smaller than the sum of its proper divisors (43318385280).

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

14475957120 is an equidigital number, since it uses as much as digits as its factorization.

14475957120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 14475957120 in words is "fourteen billion, four hundred seventy-five million, nine hundred fifty-seven thousand, one hundred twenty".