8102249526168 has 320 divisors, whose sum is σ = 27507408192000. Its totient is φ = 2175106452480.

The previous prime is 8102249526127. The next prime is 8102249526187. The reversal of 8102249526168 is 8616259422018.

8102249526168 is a `hidden beast` number, since 8 + 10 + 2 + 2 + 4 + 9 + 5 + 2 + 616 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 46102383 + ... + 46277793.

It is an arithmetic number, because the mean of its divisors is an integer number (85960650600).

Almost surely, 2^{8102249526168} 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 8102249526168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13753704096000).

8102249526168 is an abundant number, since it is smaller than the sum of its proper divisors (19405158665832).

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

8102249526168 is a wasteful number, since it uses less digits than its factorization.

8102249526168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176052 (or 176039 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 8102249526168 in words is "eight trillion, one hundred two billion, two hundred forty-nine million, five hundred twenty-six thousand, one hundred sixty-eight".