816075482112 has 1320 divisors, whose sum is σ = 2875737218816. Its totient is φ = 229920768000.

The previous prime is 816075482093. The next prime is 816075482119. The reversal of 816075482112 is 211284570618.

816075482112 is a `hidden beast` number, since 8 + 1 + 607 + 5 + 4 + 8 + 21 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (816075482119) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13378286562 + ... + 13378286622.

Almost surely, 2^816075482112 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 816075482112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437868609408).

816075482112 is an abundant number, since it is smaller than the sum of its proper divisors (2059661736704).

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

816075482112 is a wasteful number, since it uses less digits than its factorization.

816075482112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 816075482112 in words is "eight hundred sixteen billion, seventy-five million, four hundred eighty-two thousand, one hundred twelve".