8101293787368 has 96 divisors (see below), whose sum is σ = 22054562400000. Its totient is φ = 2686458918528.

The previous prime is 8101293787337. The next prime is 8101293787369. The reversal of 8101293787368 is 8637873921018.

8101293787368 is a `hidden beast` number, since 8 + 10 + 129 + 378 + 73 + 68 = 666.

It is a super-2 number, since 2×8101293787368² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8101293787369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104684673 + ... + 104762031.

It is an arithmetic number, because the mean of its divisors is an integer number (229735025000).

Almost surely, 2^{8101293787368} is an apocalyptic number.

It is an amenable number.

8101293787368 is an abundant number, since it is smaller than the sum of its proper divisors (13953268612632).

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

8101293787368 is a wasteful number, since it uses less digits than its factorization.

8101293787368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84879 (or 84872 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 8101293787368 in words is "eight trillion, one hundred one billion, two hundred ninety-three million, seven hundred eighty-seven thousand, three hundred sixty-eight".