248325552384 has 216 divisors, whose sum is σ = 827952451200. Its totient is φ = 65492324352.

The previous prime is 248325552367. The next prime is 248325552389. The reversal of 248325552384 is 483255523842.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (248325552389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235417 + ... + 743015.

It is an arithmetic number, because the mean of its divisors is an integer number (3833113200).

Almost surely, 2^248325552384 is an apocalyptic number.

248325552384 is a gapful number since it is divisible by the number (24) 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 248325552384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413976225600).

248325552384 is an abundant number, since it is smaller than the sum of its proper divisors (579626898816).

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

248325552384 is a wasteful number, since it uses less digits than its factorization.

248325552384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507645 (or 507624 counting only the distinct ones).

The product of its digits is 9216000, while the sum is 51.

The spelling of 248325552384 in words is "two hundred forty-eight billion, three hundred twenty-five million, five hundred fifty-two thousand, three hundred eighty-four".