8123166504 has 96 divisors (see below), whose sum is σ = 22512789000. Its totient is φ = 2645245440.

The previous prime is 8123166479. The next prime is 8123166523. The reversal of 8123166504 is 4056613218.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2255300100 + 5867866404 = 47490^2 + 76602^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 648202 + ... + 660614.

Almost surely, 2^8123166504 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 8123166504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11256394500).

8123166504 is an abundant number, since it is smaller than the sum of its proper divisors (14389622496).

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

8123166504 is a wasteful number, since it uses less digits than its factorization.

8123166504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12635 (or 12628 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 8123166504 is about 90128.6109068591. The cubic root of 8123166504 is about 2010.2116477214.

The spelling of 8123166504 in words is "eight billion, one hundred twenty-three million, one hundred sixty-six thousand, five hundred four".