248443646344842 has 128 divisors (see below), whose sum is σ = 554230243058688. Its totient is φ = 73755098726400.

The previous prime is 248443646344819. The next prime is 248443646344847.

It is a happy number.

248443646344842 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (248443646344847) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 411341592 + ... + 411945132.

It is an arithmetic number, because the mean of its divisors is an integer number (4329923773896).

Almost surely, 2^{248443646344842} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248443646344842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277115121529344).

248443646344842 is an abundant number, since it is smaller than the sum of its proper divisors (305786596713846).

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

248443646344842 is a wasteful number, since it uses less digits than its factorization.

248443646344842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605024.

The product of its digits is 1358954496, while the sum is 66.

The spelling of 248443646344842 in words is "two hundred forty-eight trillion, four hundred forty-three billion, six hundred forty-six million, three hundred forty-four thousand, eight hundred forty-two".