8106718144 has 112 divisors (see below), whose sum is σ = 19407225600. Its totient is φ = 3282149376.

The previous prime is 8106718133. The next prime is 8106718181. The reversal of 8106718144 is 4418176018.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 8106718097 and 8106718106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3565392 + ... + 3567664.

It is an arithmetic number, because the mean of its divisors is an integer number (173278800).

Almost surely, 2^8106718144 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 8106718144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9703612800).

8106718144 is an abundant number, since it is smaller than the sum of its proper divisors (11300507456).

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

8106718144 is a wasteful number, since it uses less digits than its factorization.

8106718144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2730 (or 2720 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 40.

The square root of 8106718144 is about 90037.3152864966. The cubic root of 8106718144 is about 2008.8539248345.

The spelling of 8106718144 in words is "eight billion, one hundred six million, seven hundred eighteen thousand, one hundred forty-four".