14443452000 has 288 divisors, whose sum is σ = 51618700224. Its totient is φ = 3824640000.

The previous prime is 14443451959. The next prime is 14443452097. The reversal of 14443452000 is 25434441.

It is a happy number.

14443452000 is a `hidden beast` number, since 14 + 443 + 4 + 5 + 200 + 0 = 666.

14443452000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×14443452000² (a number of 21 digits) contains 22 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 47 ways as a sum of consecutive naturals, for example, 5434672 + ... + 5437328.

It is an arithmetic number, because the mean of its divisors is an integer number (179231598).

Almost surely, 2^14443452000 is an apocalyptic number.

14443452000 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 14443452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25809350112).

14443452000 is an abundant number, since it is smaller than the sum of its proper divisors (37175248224).

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

14443452000 is a wasteful number, since it uses less digits than its factorization.

14443452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2839 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 14443452000 its reverse (25434441), we get a palindrome (14468886441).

The spelling of 14443452000 in words is "fourteen billion, four hundred forty-three million, four hundred fifty-two thousand".