842344443248 has 320 divisors, whose sum is σ = 2154054988800. Its totient is φ = 309556961280.

The previous prime is 842344443233. The next prime is 842344443257.

842344443248 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×842344443248² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 842344443196 and 842344443205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 284286215 + ... + 284289177.

It is an arithmetic number, because the mean of its divisors is an integer number (6731421840).

Almost surely, 2^842344443248 is an apocalyptic number.

842344443248 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 842344443248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077027494400).

842344443248 is an abundant number, since it is smaller than the sum of its proper divisors (1311710545552).

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

842344443248 is a wasteful number, since it uses less digits than its factorization.

842344443248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3200 (or 3194 counting only the distinct ones).

The product of its digits is 9437184, while the sum is 50.

The spelling of 842344443248 in words is "eight hundred forty-two billion, three hundred forty-four million, four hundred forty-three thousand, two hundred forty-eight".