248799312384 has 320 divisors, whose sum is σ = 794607998976. Its totient is φ = 67636445184.

The previous prime is 248799312371. The next prime is 248799312427. The reversal of 248799312384 is 483213997842.

248799312384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 48714759 + ... + 48719865.

Almost surely, 2^248799312384 is an apocalyptic number.

248799312384 is a gapful number since it is divisible by the number (24) 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 248799312384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397303999488).

248799312384 is an abundant number, since it is smaller than the sum of its proper divisors (545808686592).

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

248799312384 is a wasteful number, since it uses less digits than its factorization.

248799312384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5355 (or 5339 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 60.

The spelling of 248799312384 in words is "two hundred forty-eight billion, seven hundred ninety-nine million, three hundred twelve thousand, three hundred eighty-four".