8109918276096 has 320 divisors, whose sum is σ = 27027123653376. Its totient is φ = 2103813734400.

The previous prime is 8109918276091. The next prime is 8109918276107. The reversal of 8109918276096 is 6906728199018.

It is not an unprimeable number, because it can be changed into a prime (8109918276091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8050756 + ... + 9001916.

Almost surely, 2^{8109918276096} 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 8109918276096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13513561826688).

8109918276096 is an abundant number, since it is smaller than the sum of its proper divisors (18917205377280).

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

8109918276096 is a wasteful number, since it uses less digits than its factorization.

8109918276096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951263 (or 951247 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 66.

The spelling of 8109918276096 in words is "eight trillion, one hundred nine billion, nine hundred eighteen million, two hundred seventy-six thousand, ninety-six".