14469144000 has 224 divisors, whose sum is σ = 49426977600. Its totient is φ = 3725209600.

The previous prime is 14469143993. The next prime is 14469144017. The reversal of 14469144000 is 44196441.

It is a super-2 number, since 2×14469144000² (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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 685606 + ... + 706394.

It is an arithmetic number, because the mean of its divisors is an integer number (220656150).

Almost surely, 2^14469144000 is an apocalyptic number.

14469144000 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 14469144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24713488800).

14469144000 is an abundant number, since it is smaller than the sum of its proper divisors (34957833600).

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

14469144000 is a wasteful number, since it uses less digits than its factorization.

14469144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20848 (or 20828 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 14469144000 in words is "fourteen billion, four hundred sixty-nine million, one hundred forty-four thousand".