248969275296 has 384 divisors, whose sum is σ = 821370170880. Its totient is φ = 64384008192.

The previous prime is 248969275271. The next prime is 248969275297. The reversal of 248969275296 is 692572969842.

It is a self number, because there is not a number n which added to its sum of digits gives 248969275296.

It is not an unprimeable number, because it can be changed into a prime (248969275297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91767636 + ... + 91770348.

It is an arithmetic number, because the mean of its divisors is an integer number (2138984820).

Almost surely, 2^248969275296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248969275296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410685085440).

248969275296 is an abundant number, since it is smaller than the sum of its proper divisors (572400895584).

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

248969275296 is a wasteful number, since it uses less digits than its factorization.

248969275296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3056 (or 3048 counting only the distinct ones).

The product of its digits is 235146240, while the sum is 69.

The spelling of 248969275296 in words is "two hundred forty-eight billion, nine hundred sixty-nine million, two hundred seventy-five thousand, two hundred ninety-six".