8123112908928 has 512 divisors, whose sum is σ = 25108442726400. Its totient is φ = 2582461440000.

The previous prime is 8123112908927. The next prime is 8123112908983. The reversal of 8123112908928 is 8298092113218.

8123112908928 is a `hidden beast` number, since 8 + 12 + 311 + 290 + 8 + 9 + 28 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (8123112908927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2119255300 + ... + 2119259132.

It is an arithmetic number, because the mean of its divisors is an integer number (49039927200).

Almost surely, 2^{8123112908928} 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 8123112908928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12554221363200).

8123112908928 is an abundant number, since it is smaller than the sum of its proper divisors (16985329817472).

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

8123112908928 is a wasteful number, since it uses less digits than its factorization.

8123112908928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4169 (or 4151 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 8123112908928 in words is "eight trillion, one hundred twenty-three billion, one hundred twelve million, nine hundred eight thousand, nine hundred twenty-eight".