8197023808512 has 528 divisors, whose sum is σ = 29567036738304. Its totient is φ = 2124914688000.

The previous prime is 8197023808361. The next prime is 8197023808553. The reversal of 8197023808512 is 2158083207918.

8197023808512 is a `hidden beast` number, since 8 + 1 + 97 + 0 + 2 + 38 + 0 + 8 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 369707187 + ... + 369729357.

Almost surely, 2^{8197023808512} 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 8197023808512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14783518369152).

8197023808512 is an abundant number, since it is smaller than the sum of its proper divisors (21370012929792).

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

8197023808512 is a wasteful number, since it uses less digits than its factorization.

8197023808512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22736 (or 22715 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 8197023808512 in words is "eight trillion, one hundred ninety-seven billion, twenty-three million, eight hundred eight thousand, five hundred twelve".