842465564248 has 128 divisors (see below), whose sum is σ = 2059680337920. Its totient is φ = 313251269760.

The previous prime is 842465564221. The next prime is 842465564257.

842465564248 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 842465564192 and 842465564201.

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, 6209311 + ... + 6343537.

It is an arithmetic number, because the mean of its divisors is an integer number (16091252640).

Almost surely, 2^842465564248 is an apocalyptic number.

842465564248 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 842465564248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029840168960).

842465564248 is an abundant number, since it is smaller than the sum of its proper divisors (1217214773672).

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

842465564248 is a wasteful number, since it uses less digits than its factorization.

842465564248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134717 (or 134713 counting only the distinct ones).

The product of its digits is 58982400, while the sum is 58.

The spelling of 842465564248 in words is "eight hundred forty-two billion, four hundred sixty-five million, five hundred sixty-four thousand, two hundred forty-eight".