248300065040 has 80 divisors (see below), whose sum is σ = 588475519680. Its totient is φ = 97409917440.

The previous prime is 248300064997. The next prime is 248300065049. The reversal of 248300065040 is 40560003842.

248300065040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 248300064988 and 248300065006.

It is not an unprimeable number, because it can be changed into a prime (248300065049) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1126295 + ... + 1328585.

It is an arithmetic number, because the mean of its divisors is an integer number (7355943996).

Almost surely, 2^248300065040 is an apocalyptic number.

248300065040 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 248300065040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294237759840).

248300065040 is an abundant number, since it is smaller than the sum of its proper divisors (340175454640).

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

248300065040 is a wasteful number, since it uses less digits than its factorization.

248300065040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202600 (or 202594 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 248300065040 its reverse (40560003842), we get a palindrome (288860068882).

The spelling of 248300065040 in words is "two hundred forty-eight billion, three hundred million, sixty-five thousand, forty".