14457443000 has 576 divisors, whose sum is σ = 46473860160. Its totient is φ = 4118400000.

The previous prime is 14457442981. The next prime is 14457443003. The reversal of 14457443000 is 34475441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14457443003) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 143142950 + ... + 143143050.

It is an arithmetic number, because the mean of its divisors is an integer number (80683785).

Almost surely, 2^14457443000 is an apocalyptic number.

14457443000 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 14457443000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23236930080).

14457443000 is an abundant number, since it is smaller than the sum of its proper divisors (32016417160).

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

14457443000 is a wasteful number, since it uses less digits than its factorization.

14457443000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

The spelling of 14457443000 in words is "fourteen billion, four hundred fifty-seven million, four hundred forty-three thousand".