248765344488882 has 128 divisors (see below), whose sum is σ = 605444579308800. Its totient is φ = 75243569697792.

The previous prime is 248765344488863. The next prime is 248765344488883. The reversal of 248765344488882 is 288884443567842.

248765344488882 is a `hidden beast` number, since 2 + 4 + 8 + 7 + 6 + 53 + 4 + 4 + 488 + 8 + 82 = 666.

248765344488882 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (248765344488883) 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, 1807122768 + ... + 1807260420.

It is an arithmetic number, because the mean of its divisors is an integer number (4730035775850).

Almost surely, 2^{248765344488882} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248765344488882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302722289654400).

248765344488882 is an abundant number, since it is smaller than the sum of its proper divisors (356679234819918).

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

248765344488882 is a wasteful number, since it uses less digits than its factorization.

248765344488882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181369 (or 181363 counting only the distinct ones).

The product of its digits is 21139292160, while the sum is 81.

The spelling of 248765344488882 in words is "two hundred forty-eight trillion, seven hundred sixty-five billion, three hundred forty-four million, four hundred eighty-eight thousand, eight hundred eighty-two".