48342255224384 has 112 divisors (see below), whose sum is σ = 110173688923200. Its totient is φ = 20814253516800.

The previous prime is 48342255224377. The next prime is 48342255224399.

48342255224384 is nontrivially palindromic in base 10.

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, 94299314 + ... + 94810574.

It is an arithmetic number, because the mean of its divisors is an integer number (983693651100).

Almost surely, 2^{48342255224384} is an apocalyptic number.

48342255224384 is a gapful number since it is divisible by the number (44) 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 48342255224384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55086844461600).

48342255224384 is an abundant number, since it is smaller than the sum of its proper divisors (61831433698816).

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

48342255224384 is a wasteful number, since it uses less digits than its factorization.

48342255224384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518372 (or 518362 counting only the distinct ones).

The product of its digits is 58982400, while the sum is 56.

The spelling of 48342255224384 in words is "forty-eight trillion, three hundred forty-two billion, two hundred fifty-five million, two hundred twenty-four thousand, three hundred eighty-four".