14323257000 has 768 divisors, whose sum is σ = 55771372800. Its totient is φ = 3396556800.

The previous prime is 14323256947. The next prime is 14323257007. The reversal of 14323257000 is 75232341.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14323257007) 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 191 ways as a sum of consecutive naturals, for example, 196208964 + ... + 196209036.

It is an arithmetic number, because the mean of its divisors is an integer number (72618975).

Almost surely, 2^14323257000 is an apocalyptic number.

14323257000 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 14323257000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27885686400).

14323257000 is an abundant number, since it is smaller than the sum of its proper divisors (41448115800).

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

14323257000 is a wasteful number, since it uses less digits than its factorization.

14323257000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

Adding to 14323257000 its reverse (75232341), we get a palindrome (14398489341).

The spelling of 14323257000 in words is "fourteen billion, three hundred twenty-three million, two hundred fifty-seven thousand".