248203304960 has 224 divisors, whose sum is σ = 675260076960. Its totient is φ = 86817374208.

The previous prime is 248203304959. The next prime is 248203304971. The reversal of 248203304960 is 69403302842.

It is a happy number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 10104854 + ... + 10129386.

It is an arithmetic number, because the mean of its divisors is an integer number (3014553915).

Almost surely, 2^248203304960 is an apocalyptic number.

248203304960 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 248203304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337630038480).

248203304960 is an abundant number, since it is smaller than the sum of its proper divisors (427056772000).

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

248203304960 is a wasteful number, since it uses less digits than its factorization.

248203304960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24596 (or 24572 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 41.

The spelling of 248203304960 in words is "two hundred forty-eight billion, two hundred three million, three hundred four thousand, nine hundred sixty".