248838828768 has 72 divisors (see below), whose sum is σ = 716592895200. Its totient is φ = 81896315904.

The previous prime is 248838828757. The next prime is 248838828829. The reversal of 248838828768 is 867828838842.

248838828768 is a `hidden beast` number, since 2 + 488 + 3 + 8 + 8 + 2 + 87 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 248838828696 and 248838828705.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5445753 + ... + 5491256.

It is an arithmetic number, because the mean of its divisors is an integer number (9952679100).

Almost surely, 2^248838828768 is an apocalyptic number.

It is an amenable number.

248838828768 is an abundant number, since it is smaller than the sum of its proper divisors (467754066432).

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

248838828768 is a wasteful number, since it uses less digits than its factorization.

248838828768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10937104 (or 10937093 counting only the distinct ones).

The product of its digits is 528482304, while the sum is 72.

The spelling of 248838828768 in words is "two hundred forty-eight billion, eight hundred thirty-eight million, eight hundred twenty-eight thousand, seven hundred sixty-eight".