842534161435248 has 320 divisors, whose sum is σ = 2272794226859520. Its totient is φ = 268720187904000.

The previous prime is 842534161435243. The next prime is 842534161435249.

842534161435248 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 842534161435191 and 842534161435200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842534161435243) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26850239623 + ... + 26850271001.

It is an arithmetic number, because the mean of its divisors is an integer number (7102481958936).

Almost surely, 2^{842534161435248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 842534161435248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136397113429760).

842534161435248 is an abundant number, since it is smaller than the sum of its proper divisors (1430260065424272).

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

842534161435248 is a wasteful number, since it uses less digits than its factorization.

842534161435248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32536 (or 32530 counting only the distinct ones).

The product of its digits is 88473600, while the sum is 60.

The spelling of 842534161435248 in words is "eight hundred forty-two trillion, five hundred thirty-four billion, one hundred sixty-one million, four hundred thirty-five thousand, two hundred forty-eight".