248153603328 has 216 divisors, whose sum is σ = 778055104008. Its totient is φ = 75747557376.

The previous prime is 248153603309. The next prime is 248153603329. The reversal of 248153603328 is 823306351842.

248153603328 is a `hidden beast` number, since 2 + 4 + 8 + 1 + 5 + 3 + 603 + 32 + 8 = 666.

248153603328 is digitally balanced in base 2, 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 61488129024 + 186665474304 = 247968^2 + 432048^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248153603329) 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 23 ways as a sum of consecutive naturals, for example, 1363600 + ... + 1534832.

It is an arithmetic number, because the mean of its divisors is an integer number (3602106963).

Almost surely, 2^248153603328 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 248153603328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389027552004).

248153603328 is an abundant number, since it is smaller than the sum of its proper divisors (529901500680).

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

248153603328 is a wasteful number, since it uses less digits than its factorization.

248153603328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171309 (or 171292 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 248153603328 in words is "two hundred forty-eight billion, one hundred fifty-three million, six hundred three thousand, three hundred twenty-eight".