16439334912 has 1008 divisors, whose sum is σ = 66672038160. Its totient is φ = 3941498880.

The previous prime is 16439334911. The next prime is 16439334931. The reversal of 16439334912 is 21943393461.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (419904) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16439334911) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1264564218 + ... + 1264564230.

It is an arithmetic number, because the mean of its divisors is an integer number (66142895).

Almost surely, 2^16439334912 is an apocalyptic number.

16439334912 is a gapful number since it is divisible by the number (12) 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 16439334912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33336019080).

16439334912 is an abundant number, since it is smaller than the sum of its proper divisors (50232703248).

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

16439334912 is an equidigital number, since it uses as much as digits as its factorization.

16439334912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 36 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The spelling of 16439334912 in words is "sixteen billion, four hundred thirty-nine million, three hundred thirty-four thousand, nine hundred twelve".