248438114848 has 96 divisors (see below), whose sum is σ = 610464677760. Its totient is φ = 96688988160.

The previous prime is 248438114843. The next prime is 248438114849. The reversal of 248438114848 is 848411834842.

248438114848 is digitally balanced in base 3, 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 (248438114843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2234790 + ... + 2343322.

It is an arithmetic number, because the mean of its divisors is an integer number (6359007060).

Almost surely, 2^248438114848 is an apocalyptic number.

248438114848 is a gapful number since it is divisible by the number (28) 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 248438114848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305232338880).

248438114848 is an abundant number, since it is smaller than the sum of its proper divisors (362026562912).

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

248438114848 is a wasteful number, since it uses less digits than its factorization.

248438114848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109490 (or 109482 counting only the distinct ones).

The product of its digits is 6291456, while the sum is 55.

The spelling of 248438114848 in words is "two hundred forty-eight billion, four hundred thirty-eight million, one hundred fourteen thousand, eight hundred forty-eight".