14253191920 has 120 divisors (see below), whose sum is σ = 36422691120. Its totient is φ = 5144325120.

The previous prime is 14253191899. The next prime is 14253191947. The reversal of 14253191920 is 2919135241.

14253191920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14253191920.

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 23 ways as a sum of consecutive naturals, for example, 34848676 + ... + 34849084.

It is an arithmetic number, because the mean of its divisors is an integer number (303522426).

Almost surely, 2^14253191920 is an apocalyptic number.

14253191920 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 14253191920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18211345560).

14253191920 is an abundant number, since it is smaller than the sum of its proper divisors (22169499200).

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

14253191920 is a wasteful number, since it uses less digits than its factorization.

14253191920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 37.

The spelling of 14253191920 in words is "fourteen billion, two hundred fifty-three million, one hundred ninety-one thousand, nine hundred twenty".