248681325312 has 432 divisors, whose sum is σ = 859088049120. Its totient is φ = 70750568448.

The previous prime is 248681325307. The next prime is 248681325323. The reversal of 248681325312 is 213523186842.

248681325312 is a `hidden beast` number, since 2 + 4 + 8 + 6 + 8 + 1 + 325 + 312 = 666.

248681325312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 87041388 + ... + 87044244.

Almost surely, 2^248681325312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248681325312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429544024560).

248681325312 is an abundant number, since it is smaller than the sum of its proper divisors (610406723808).

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

248681325312 is a wasteful number, since it uses less digits than its factorization.

248681325312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3153 (or 3126 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 248681325312 in words is "two hundred forty-eight billion, six hundred eighty-one million, three hundred twenty-five thousand, three hundred twelve".