14444293248 has 768 divisors, whose sum is σ = 55531607040. Its totient is φ = 3627970560.

The previous prime is 14444293247. The next prime is 14444293267. The reversal of 14444293248 is 84239244441.

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 (14444293247) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88615215 + ... + 88615377.

It is an arithmetic number, because the mean of its divisors is an integer number (72306780).

Almost surely, 2^14444293248 is an apocalyptic number.

14444293248 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 14444293248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27765803520).

14444293248 is an abundant number, since it is smaller than the sum of its proper divisors (41087313792).

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

14444293248 is a wasteful number, since it uses less digits than its factorization.

14444293248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 223 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The spelling of 14444293248 in words is "fourteen billion, four hundred forty-four million, two hundred ninety-three thousand, two hundred forty-eight".