248144945424 has 80 divisors (see below), whose sum is σ = 663584819520. Its totient is φ = 79809891840.

The previous prime is 248144945413. The next prime is 248144945441. The reversal of 248144945424 is 424549441842.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2072934 + ... + 2189370.

It is an arithmetic number, because the mean of its divisors is an integer number (8294810244).

Almost surely, 2^248144945424 is an apocalyptic number.

248144945424 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 248144945424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331792409760).

248144945424 is an abundant number, since it is smaller than the sum of its proper divisors (415439874096).

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

248144945424 is a wasteful number, since it uses less digits than its factorization.

248144945424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118008 (or 118002 counting only the distinct ones).

The product of its digits is 5898240, while the sum is 51.

The spelling of 248144945424 in words is "two hundred forty-eight billion, one hundred forty-four million, nine hundred forty-five thousand, four hundred twenty-four".