842542245248 has 128 divisors (see below), whose sum is σ = 1963350835200. Its totient is φ = 355882475520.

The previous prime is 842542245217. The next prime is 842542245257.

842542245248 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 842542245196 and 842542245205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1668161 + ... + 2113727.

It is an arithmetic number, because the mean of its divisors is an integer number (15338678400).

Almost surely, 2^842542245248 is an apocalyptic number.

842542245248 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 842542245248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981675417600).

842542245248 is an abundant number, since it is smaller than the sum of its proper divisors (1120808589952).

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

842542245248 is a wasteful number, since it uses less digits than its factorization.

842542245248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445688 (or 445676 counting only the distinct ones).

The product of its digits is 6553600, while the sum is 50.

The spelling of 842542245248 in words is "eight hundred forty-two billion, five hundred forty-two million, two hundred forty-five thousand, two hundred forty-eight".