248443200000 has 960 divisors, whose sum is σ = 943657102080. Its totient is φ = 65318400000.

The previous prime is 248443199971. The next prime is 248443200001. The reversal of 248443200000 is 2344842.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248443200001) 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, 3499199965 + ... + 3499200035.

It is an arithmetic number, because the mean of its divisors is an integer number (982976148).

Almost surely, 2^248443200000 is an apocalyptic number.

248443200000 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 248443200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471828551040).

248443200000 is an abundant number, since it is smaller than the sum of its proper divisors (695213902080).

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

248443200000 is an frugal number, since it uses more digits than its factorization.

248443200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 248443200000 its reverse (2344842), we get a palindrome (248445544842).

The spelling of 248443200000 in words is "two hundred forty-eight billion, four hundred forty-three million, two hundred thousand".