8251682141568 has 64 divisors (see below), whose sum is σ = 21918882424320. Its totient is φ = 2750516574720.

The previous prime is 8251682141561. The next prime is 8251682141579. The reversal of 8251682141568 is 8651412861528.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8251682141561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31220853 + ... + 31484043.

It is an arithmetic number, because the mean of its divisors is an integer number (342482537880).

Almost surely, 2^{8251682141568} is an apocalyptic number.

It is an amenable number.

8251682141568 is an abundant number, since it is smaller than the sum of its proper divisors (13667200282752).

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

8251682141568 is a wasteful number, since it uses less digits than its factorization.

8251682141568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344855 (or 344843 counting only the distinct ones).

The product of its digits is 7372800, while the sum is 57.

The spelling of 8251682141568 in words is "eight trillion, two hundred fifty-one billion, six hundred eighty-two million, one hundred forty-one thousand, five hundred sixty-eight".