348328223684896 has 768 divisors, whose sum is σ = 904394285383680. Its totient is φ = 128367273000960.

The previous prime is 348328223684867. The next prime is 348328223684899. The reversal of 348328223684896 is 698486322823843.

It is not an unprimeable number, because it can be changed into a prime (348328223684899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 130118871910 + ... + 130118874586.

It is an arithmetic number, because the mean of its divisors is an integer number (1177596725760).

Almost surely, 2^{348328223684896} 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 348328223684896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452197142691840).

348328223684896 is an abundant number, since it is smaller than the sum of its proper divisors (556066061698784).

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

348328223684896 is a wasteful number, since it uses less digits than its factorization.

348328223684896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3177 (or 3169 counting only the distinct ones).

The product of its digits is 4586471424, while the sum is 76.

The spelling of 348328223684896 in words is "three hundred forty-eight trillion, three hundred twenty-eight billion, two hundred twenty-three million, six hundred eighty-four thousand, eight hundred ninety-six".