14382319248 has 120 divisors (see below), whose sum is σ = 43942874976. Its totient is φ = 4354982400.

The previous prime is 14382319229. The next prime is 14382319261. The reversal of 14382319248 is 84291328341.

14382319248 is a `hidden beast` number, since 1 + 438 + 23 + 192 + 4 + 8 = 666.

It is a super-2 number, since 2×14382319248² (a number of 21 digits) contains 22 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 2828068 + ... + 2833148.

Almost surely, 2^14382319248 is an apocalyptic number.

14382319248 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 14382319248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21971437488).

14382319248 is an abundant number, since it is smaller than the sum of its proper divisors (29560555728).

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

14382319248 is a wasteful number, since it uses less digits than its factorization.

14382319248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6893 (or 6884 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 14382319248 in words is "fourteen billion, three hundred eighty-two million, three hundred nineteen thousand, two hundred forty-eight".