8116186635648 has 720 divisors, whose sum is σ = 30424982874660. Its totient is φ = 2140510095360.

The previous prime is 8116186635637. The next prime is 8116186635671. The reversal of 8116186635648 is 8465366816118.

8116186635648 is a `hidden beast` number, since 8 + 1 + 1 + 6 + 1 + 8 + 6 + 63 + 564 + 8 = 666.

It is a super-2 number, since 2×8116186635648² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 85810143 + ... + 85904673.

Almost surely, 2^{8116186635648} 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 8116186635648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15212491437330).

8116186635648 is an abundant number, since it is smaller than the sum of its proper divisors (22308796239012).

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

8116186635648 is a wasteful number, since it uses less digits than its factorization.

8116186635648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94597 (or 94556 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 63.

The spelling of 8116186635648 in words is "eight trillion, one hundred sixteen billion, one hundred eighty-six million, six hundred thirty-five thousand, six hundred forty-eight".