248538888000 has 896 divisors, whose sum is σ = 998791073280. Its totient is φ = 60134400000.

The previous prime is 248538887981. The next prime is 248538888001. The reversal of 248538888000 is 888835842.

248538888000 is a `hidden beast` number, since 2 + 485 + 3 + 8 + 88 + 80 + 0 + 0 = 666.

248538888000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248538888001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 171287275 + ... + 171288725.

It is an arithmetic number, because the mean of its divisors is an integer number (1114722180).

Almost surely, 2^248538888000 is an apocalyptic number.

248538888000 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 248538888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499395536640).

248538888000 is an abundant number, since it is smaller than the sum of its proper divisors (750252185280).

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

248538888000 is a wasteful number, since it uses less digits than its factorization.

248538888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 54.

The spelling of 248538888000 in words is "two hundred forty-eight billion, five hundred thirty-eight million, eight hundred eighty-eight thousand".