16344020224 has 144 divisors (see below), whose sum is σ = 38193955072. Its totient is φ = 6835912704.

The previous prime is 16344020219. The next prime is 16344020233. The reversal of 16344020224 is 42202044361.

16344020224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 16344020192 and 16344020201.

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 15 ways as a sum of consecutive naturals, for example, 13473442 + ... + 13474654.

Almost surely, 2^16344020224 is an apocalyptic number.

16344020224 is a gapful number since it is divisible by the number (14) 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 16344020224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19096977536).

16344020224 is an abundant number, since it is smaller than the sum of its proper divisors (21849934848).

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

16344020224 is a wasteful number, since it uses less digits than its factorization.

16344020224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 16344020224 its reverse (42202044361), we get a palindrome (58546064585).

The spelling of 16344020224 in words is "sixteen billion, three hundred forty-four million, twenty thousand, two hundred twenty-four".