14288641920 has 256 divisors, whose sum is σ = 57835468800. Its totient is φ = 3265947648.

The previous prime is 14288641919. The next prime is 14288641949. The reversal of 14288641920 is 2914688241.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61897 + ... + 180023.

It is an arithmetic number, because the mean of its divisors is an integer number (225919800).

Almost surely, 2^14288641920 is an apocalyptic number.

14288641920 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 14288641920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28917734400).

14288641920 is an abundant number, since it is smaller than the sum of its proper divisors (43546826880).

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

14288641920 is a wasteful number, since it uses less digits than its factorization.

14288641920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118162 (or 118144 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 14288641920 in words is "fourteen billion, two hundred eighty-eight million, six hundred forty-one thousand, nine hundred twenty".