248360112000 has 1536 divisors, whose sum is σ = 1198242339840. Its totient is φ = 47609856000.

The previous prime is 248360111953. The next prime is 248360112019. The reversal of 248360112000 is 211063842.

248360112000 is a `hidden beast` number, since 2 + 48 + 3 + 601 + 12 + 0 + 0 + 0 = 666.

248360112000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 144143139 + ... + 144144861.

It is an arithmetic number, because the mean of its divisors is an integer number (780105690).

Almost surely, 2^248360112000 is an apocalyptic number.

248360112000 is a gapful number since it is divisible by the number (20) 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 248360112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599121169920).

248360112000 is an abundant number, since it is smaller than the sum of its proper divisors (949882227840).

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

248360112000 is a wasteful number, since it uses less digits than its factorization.

248360112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 248360112000 its reverse (211063842), we get a palindrome (248571175842).

The spelling of 248360112000 in words is "two hundred forty-eight billion, three hundred sixty million, one hundred twelve thousand".