16438344000 has 896 divisors, whose sum is σ = 63905587200. Its totient is φ = 3688243200.

The previous prime is 16438343923. The next prime is 16438344017. The reversal of 16438344000 is 44383461.

It is a happy number.

16438344000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 127 ways as a sum of consecutive naturals, for example, 278615971 + ... + 278616029.

It is an arithmetic number, because the mean of its divisors is an integer number (71323200).

Almost surely, 2^16438344000 is an apocalyptic number.

16438344000 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 16438344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31952793600).

16438344000 is an abundant number, since it is smaller than the sum of its proper divisors (47467243200).

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

16438344000 is a wasteful number, since it uses less digits than its factorization.

16438344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 16438344000 in words is "sixteen billion, four hundred thirty-eight million, three hundred forty-four thousand".