248563288800 has 324 divisors, whose sum is σ = 897402031344. Its totient is φ = 64738598400.

The previous prime is 248563288733. The next prime is 248563288819. The reversal of 248563288800 is 8882365842.

248563288800 is a `hidden beast` number, since 2 + 485 + 6 + 3 + 2 + 88 + 80 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 13303465 + ... + 13322135.

It is an arithmetic number, because the mean of its divisors is an integer number (2769759356).

Almost surely, 2^248563288800 is an apocalyptic number.

248563288800 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 248563288800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448701015672).

248563288800 is an abundant number, since it is smaller than the sum of its proper divisors (648838742544).

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

248563288800 is a wasteful number, since it uses less digits than its factorization.

248563288800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18783 (or 18724 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 248563288800 in words is "two hundred forty-eight billion, five hundred sixty-three million, two hundred eighty-eight thousand, eight hundred".