248313869232 has 640 divisors, whose sum is σ = 816427745280. Its totient is φ = 63952711680.

The previous prime is 248313869231. The next prime is 248313869249. The reversal of 248313869232 is 232968313842.

It is a happy number.

248313869232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (248313869231) 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, 493665493 + ... + 493665995.

It is an arithmetic number, because the mean of its divisors is an integer number (1275668352).

Almost surely, 2^248313869232 is an apocalyptic number.

248313869232 is a gapful number since it is divisible by the number (22) 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 248313869232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408213872640).

248313869232 is an abundant number, since it is smaller than the sum of its proper divisors (568113876048).

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

248313869232 is a wasteful number, since it uses less digits than its factorization.

248313869232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 667 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 51.

The spelling of 248313869232 in words is "two hundred forty-eight billion, three hundred thirteen million, eight hundred sixty-nine thousand, two hundred thirty-two".