14287254000 has 320 divisors, whose sum is σ = 47750277120. Its totient is φ = 3672345600.

The previous prime is 14287253993. The next prime is 14287254013. The reversal of 14287254000 is 45278241.

14287254000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×14287254000⁴ (a number of 42 digits) contains 4444 as substring.

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 63 ways as a sum of consecutive naturals, for example, 30857769 + ... + 30858231.

It is an arithmetic number, because the mean of its divisors is an integer number (149219616).

Almost surely, 2^14287254000 is an apocalyptic number.

14287254000 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 14287254000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23875138560).

14287254000 is an abundant number, since it is smaller than the sum of its proper divisors (33463023120).

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

14287254000 is a wasteful number, since it uses less digits than its factorization.

14287254000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The spelling of 14287254000 in words is "fourteen billion, two hundred eighty-seven million, two hundred fifty-four thousand".