842816865312 has 192 divisors, whose sum is σ = 2573626608000. Its totient is φ = 267982654464.

The previous prime is 842816865307. The next prime is 842816865323. The reversal of 842816865312 is 213568618248.

842816865312 is a `hidden beast` number, since 8 + 4 + 28 + 1 + 6 + 86 + 531 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1877014 + ... + 2282282.

It is an arithmetic number, because the mean of its divisors is an integer number (13404305250).

Almost surely, 2^842816865312 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 842816865312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286813304000).

842816865312 is an abundant number, since it is smaller than the sum of its proper divisors (1730809742688).

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

842816865312 is a wasteful number, since it uses less digits than its factorization.

842816865312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405400 (or 405386 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The spelling of 842816865312 in words is "eight hundred forty-two billion, eight hundred sixteen million, eight hundred sixty-five thousand, three hundred twelve".