248865568842 has 32 divisors (see below), whose sum is σ = 543115710144. Its totient is φ = 75394880000.

The previous prime is 248865568817. The next prime is 248865568849.

248865568842 is nontrivially palindromic in base 10.

248865568842 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (248865568849) 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, 207153 + ... + 735284.

It is an arithmetic number, because the mean of its divisors is an integer number (16972365942).

Almost surely, 2^248865568842 is an apocalyptic number.

248865568842 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

248865568842 is an abundant number, since it is smaller than the sum of its proper divisors (294250141302).

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

248865568842 is a wasteful number, since it uses less digits than its factorization.

248865568842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946454.

The product of its digits is 235929600, while the sum is 66.

The spelling of 248865568842 in words is "two hundred forty-eight billion, eight hundred sixty-five million, five hundred sixty-eight thousand, eight hundred forty-two".