2448538358442 has 96 divisors (see below), whose sum is σ = 5679511172160. Its totient is φ = 701258342400.

The previous prime is 2448538358419. The next prime is 2448538358443.

2448538358442 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (2448538358443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5596458 + ... + 6018090.

It is an arithmetic number, because the mean of its divisors is an integer number (59161574710).

Almost surely, 2^{2448538358442} is an apocalyptic number.

2448538358442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2448538358442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2839755586080).

2448538358442 is an abundant number, since it is smaller than the sum of its proper divisors (3230972813718).

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

2448538358442 is a wasteful number, since it uses less digits than its factorization.

2448538358442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422100 (or 422089 counting only the distinct ones).

The product of its digits is 117964800, while the sum is 60.

The spelling of 2448538358442 in words is "two trillion, four hundred forty-eight billion, five hundred thirty-eight million, three hundred fifty-eight thousand, four hundred forty-two".