842357753248 has 96 divisors (see below), whose sum is σ = 1904715449280. Its totient is φ = 362672640000.

The previous prime is 842357753227. The next prime is 842357753257.

842357753248 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 842357753192 and 842357753201.

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, 66211528 + ... + 66224248.

It is an arithmetic number, because the mean of its divisors is an integer number (19840785930).

Almost surely, 2^842357753248 is an apocalyptic number.

842357753248 is a gapful number since it is divisible by the number (88) 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 842357753248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952357724640).

842357753248 is an abundant number, since it is smaller than the sum of its proper divisors (1062357696032).

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

842357753248 is a wasteful number, since it uses less digits than its factorization.

842357753248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22662 (or 22654 counting only the distinct ones).

The product of its digits is 45158400, while the sum is 58.

The spelling of 842357753248 in words is "eight hundred forty-two billion, three hundred fifty-seven million, seven hundred fifty-three thousand, two hundred forty-eight".