248668468488720 has 320 divisors, whose sum is σ = 979365602304000. Its totient is φ = 56810624361984.

The previous prime is 248668468488697. The next prime is 248668468488731. The reversal of 248668468488720 is 27884864866842.

248668468488720 is a `hidden beast` number, since 2 + 4 + 8 + 6 + 6 + 8 + 4 + 68 + 488 + 72 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 248668468488720.

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, 26796741 + ... + 34862619.

It is an arithmetic number, because the mean of its divisors is an integer number (3060517507200).

Almost surely, 2^{248668468488720} is an apocalyptic number.

248668468488720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248668468488720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489682801152000).

248668468488720 is an abundant number, since it is smaller than the sum of its proper divisors (730697133815280).

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

248668468488720 is a wasteful number, since it uses less digits than its factorization.

248668468488720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8067947 (or 8067935 counting only the distinct ones).

The product of its (nonzero) digits is 12683575296, while the sum is 81.

The spelling of 248668468488720 in words is "two hundred forty-eight trillion, six hundred sixty-eight billion, four hundred sixty-eight million, four hundred eighty-eight thousand, seven hundred twenty".