8123166468 has 144 divisors (see below), whose sum is σ = 21618688000. Its totient is φ = 2568646080.

The previous prime is 8123166439. The next prime is 8123166479. The reversal of 8123166468 is 8646613218.

8123166468 is a `hidden beast` number, since 8 + 1 + 23 + 166 + 468 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17544405 + ... + 17544867.

Almost surely, 2^8123166468 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 8123166468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10809344000).

8123166468 is an abundant number, since it is smaller than the sum of its proper divisors (13495521532).

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

8123166468 is a wasteful number, since it uses less digits than its factorization.

8123166468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 777 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 8123166468 is about 90128.6107071445. The cubic root of 8123166468 is about 2010.2116447518.

The spelling of 8123166468 in words is "eight billion, one hundred twenty-three million, one hundred sixty-six thousand, four hundred sixty-eight".