348256996434048 has 768 divisors, whose sum is σ = 1077848070451200. Its totient is φ = 99263719047168.

The previous prime is 348256996433999. The next prime is 348256996434071. The reversal of 348256996434048 is 840434699652843.

It is a Smith number, since the sum of its digits (75) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83856727140 + ... + 83856731292.

It is an arithmetic number, because the mean of its divisors is an integer number (1403448008400).

Almost surely, 2^{348256996434048} is an apocalyptic number.

348256996434048 is a gapful number since it is divisible by the number (38) 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 348256996434048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538924035225600).

348256996434048 is an abundant number, since it is smaller than the sum of its proper divisors (729591074017152).

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

348256996434048 is a wasteful number, since it uses less digits than its factorization.

348256996434048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5709 (or 5684 counting only the distinct ones).

The product of its (nonzero) digits is 4299816960, while the sum is 75.

The spelling of 348256996434048 in words is "three hundred forty-eight trillion, two hundred fifty-six billion, nine hundred ninety-six million, four hundred thirty-four thousand, forty-eight".