248338318872 has 256 divisors, whose sum is σ = 754383052800. Its totient is φ = 66617303040.

The previous prime is 248338318859. The next prime is 248338318873. The reversal of 248338318872 is 278813833842.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248338318873) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74957088 + ... + 74960400.

It is an arithmetic number, because the mean of its divisors is an integer number (2946808800).

Almost surely, 2^248338318872 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 248338318872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377191526400).

248338318872 is an abundant number, since it is smaller than the sum of its proper divisors (506044733928).

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

248338318872 is a wasteful number, since it uses less digits than its factorization.

248338318872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3786 (or 3782 counting only the distinct ones).

The product of its digits is 12386304, while the sum is 57.

The spelling of 248338318872 in words is "two hundred forty-eight billion, three hundred thirty-eight million, three hundred eighteen thousand, eight hundred seventy-two".