8230816016832 has 224 divisors, whose sum is σ = 22412795489280. Its totient is φ = 2664845291520.

The previous prime is 8230816016779. The next prime is 8230816016837. The reversal of 8230816016832 is 2386106180328.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8230816016837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397248969 + ... + 397269687.

It is an arithmetic number, because the mean of its divisors is an integer number (100057122720).

Almost surely, 2^{8230816016832} 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 8230816016832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11206397744640).

8230816016832 is an abundant number, since it is smaller than the sum of its proper divisors (14181979472448).

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

8230816016832 is a wasteful number, since it uses less digits than its factorization.

8230816016832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21219 (or 21209 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 8230816016832 in words is "eight trillion, two hundred thirty billion, eight hundred sixteen million, sixteen thousand, eight hundred thirty-two".