248666742768 has 40 divisors (see below), whose sum is σ = 646102338768. Its totient is φ = 82409784832.

The previous prime is 248666742739. The next prime is 248666742773. The reversal of 248666742768 is 867247666842.

It is a junction number, because it is equal to n+sod(n) for n = 248666742699 and 248666742708.

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 7 ways as a sum of consecutive naturals, for example, 14964405 + ... + 14981012.

Almost surely, 2^248666742768 is an apocalyptic number.

It is an amenable number.

248666742768 is an abundant number, since it is smaller than the sum of its proper divisors (397435596000).

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

248666742768 is a wasteful number, since it uses less digits than its factorization.

248666742768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29945601 (or 29945595 counting only the distinct ones).

The product of its digits is 260112384, while the sum is 66.

The spelling of 248666742768 in words is "two hundred forty-eight billion, six hundred sixty-six million, seven hundred forty-two thousand, seven hundred sixty-eight".