816334848 has 480 divisors, whose sum is σ = 3012609600. Its totient is φ = 214990848.

The previous prime is 816334847. The next prime is 816334859. The reversal of 816334848 is 848433618.

816334848 is a `hidden beast` number, since 8 + 1 + 633 + 4 + 8 + 4 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (816334847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22063086 + ... + 22063122.

It is an arithmetic number, because the mean of its divisors is an integer number (6276270).

Almost surely, 2^816334848 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 816334848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506304800).

816334848 is an abundant number, since it is smaller than the sum of its proper divisors (2196274752).

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

816334848 is a wasteful number, since it uses less digits than its factorization.

816334848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 68 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 816334848 is about 28571.5741253435. The cubic root of 816334848 is about 934.5935484470.

The spelling of 816334848 in words is "eight hundred sixteen million, three hundred thirty-four thousand, eight hundred forty-eight".