248438428144 has 80 divisors (see below), whose sum is σ = 503114941440. Its totient is φ = 118724348160.

The previous prime is 248438428123. The next prime is 248438428151. The reversal of 248438428144 is 441824834842.

It is a super-2 number, since 2×248438428144² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 248438428091 and 248438428100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93011929 + ... + 93014599.

It is an arithmetic number, because the mean of its divisors is an integer number (6288936768).

Almost surely, 2^248438428144 is an apocalyptic number.

It is an amenable number.

248438428144 is an abundant number, since it is smaller than the sum of its proper divisors (254676513296).

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

248438428144 is a wasteful number, since it uses less digits than its factorization.

248438428144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5438 (or 5432 counting only the distinct ones).

The product of its digits is 6291456, while the sum is 52.

The spelling of 248438428144 in words is "two hundred forty-eight billion, four hundred thirty-eight million, four hundred twenty-eight thousand, one hundred forty-four".