8123918208 has 128 divisors (see below), whose sum is σ = 24762205440. Its totient is φ = 2311680000.

The previous prime is 8123918203. The next prime is 8123918213. The reversal of 8123918208 is 8028193218.

It is an interprime number because it is at equal distance from previous prime (8123918203) and next prime (8123918213).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 8123918208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8123918203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 668668 + ... + 680708.

It is an arithmetic number, because the mean of its divisors is an integer number (193454730).

Almost surely, 2^8123918208 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 8123918208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12381102720).

8123918208 is an abundant number, since it is smaller than the sum of its proper divisors (16638287232).

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

8123918208 is a wasteful number, since it uses less digits than its factorization.

8123918208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12316 (or 12304 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 8123918208 is about 90132.7809845009. The cubic root of 8123918208 is about 2010.2736529968.

The spelling of 8123918208 in words is "eight billion, one hundred twenty-three million, nine hundred eighteen thousand, two hundred eight".