842333333248 has 288 divisors, whose sum is σ = 1934376192000. Its totient is φ = 362575872000.

The previous prime is 842333333147. The next prime is 842333333311.

842333333248 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 842333333198 and 842333333207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1688042503 + ... + 1688043001.

It is an arithmetic number, because the mean of its divisors is an integer number (6716584000).

Almost surely, 2^842333333248 is an apocalyptic number.

842333333248 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 842333333248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967188096000).

842333333248 is an abundant number, since it is smaller than the sum of its proper divisors (1092042858752).

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

842333333248 is a wasteful number, since it uses less digits than its factorization.

842333333248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 921 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 46.

It can be divided in two parts, 84 and 2333333248, that added together give a palindrome (2333333332).

The spelling of 842333333248 in words is "eight hundred forty-two billion, three hundred thirty-three million, three hundred thirty-three thousand, two hundred forty-eight".