14442831648 has 144 divisors (see below), whose sum is σ = 47211667776. Its totient is φ = 4102571520.

The previous prime is 14442831647. The next prime is 14442831653. The reversal of 14442831648 is 84613824441.

14442831648 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 (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (14442831647) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 328063 + ... + 369473.

It is an arithmetic number, because the mean of its divisors is an integer number (327858804).

Almost surely, 2^14442831648 is an apocalyptic number.

14442831648 is a gapful number since it is divisible by the number (18) 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 14442831648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23605833888).

14442831648 is an abundant number, since it is smaller than the sum of its proper divisors (32768836128).

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

14442831648 is a wasteful number, since it uses less digits than its factorization.

14442831648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41607 (or 41596 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The spelling of 14442831648 in words is "fourteen billion, four hundred forty-two million, eight hundred thirty-one thousand, six hundred forty-eight".