14412008448 has 198 divisors, whose sum is σ = 42307338684. Its totient is φ = 4725215232.

The previous prime is 14412008437. The next prime is 14412008477. The reversal of 14412008448 is 84480021441.

14412008448 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 200 + 8 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 63488911 + ... + 63489137.

Almost surely, 2^14412008448 is an apocalyptic number.

14412008448 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 14412008448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21153669342).

14412008448 is an abundant number, since it is smaller than the sum of its proper divisors (27895330236).

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

14412008448 is an equidigital number, since it uses as much as digits as its factorization.

14412008448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

Adding to 14412008448 its reverse (84480021441), we get a palindrome (98892029889).

The spelling of 14412008448 in words is "fourteen billion, four hundred twelve million, eight thousand, four hundred forty-eight".