248788256148 has 72 divisors (see below), whose sum is σ = 631824921000. Its totient is φ = 82541546496.

The previous prime is 248788256053. The next prime is 248788256149. The reversal of 248788256148 is 841652887842.

248788256148 is a `hidden beast` number, since 2 + 4 + 8 + 7 + 8 + 8 + 2 + 5 + 614 + 8 = 666.

248788256148 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11640683664 + 237147572484 = 107892^2 + 486978^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248788256149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32952678 + ... + 32960226.

It is an arithmetic number, because the mean of its divisors is an integer number (8775346125).

Almost surely, 2^248788256148 is an apocalyptic number.

It is an amenable number.

248788256148 is an abundant number, since it is smaller than the sum of its proper divisors (383036664852).

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

248788256148 is a wasteful number, since it uses less digits than its factorization.

248788256148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11721 (or 11716 counting only the distinct ones).

The product of its digits is 55050240, while the sum is 63.

The spelling of 248788256148 in words is "two hundred forty-eight billion, seven hundred eighty-eight million, two hundred fifty-six thousand, one hundred forty-eight".