248881008577368 has 256 divisors, whose sum is σ = 653000660582400. Its totient is φ = 78953826631680.

The previous prime is 248881008577339. The next prime is 248881008577391. The reversal of 248881008577368 is 863775800188842.

It is a Cunningham number, because it is equal to 15775963²-1.

It is a self number, because there is not a number n which added to its sum of digits gives 248881008577368.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14703188121 + ... + 14703205047.

It is an arithmetic number, because the mean of its divisors is an integer number (2550783830400).

Almost surely, 2^{248881008577368} 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 248881008577368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326500330291200).

248881008577368 is an abundant number, since it is smaller than the sum of its proper divisors (404119652005032).

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

248881008577368 is a wasteful number, since it uses less digits than its factorization.

248881008577368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18242 (or 18238 counting only the distinct ones).

The product of its (nonzero) digits is 1156055040, while the sum is 75.

The spelling of 248881008577368 in words is "two hundred forty-eight trillion, eight hundred eighty-one billion, eight million, five hundred seventy-seven thousand, three hundred sixty-eight".