8641792971468 has 36 divisors (see below), whose sum is σ = 21891712690848. Its totient is φ = 2874376058400.

The previous prime is 8641792971451. The next prime is 8641792971481.

8641792971468 is a `hidden beast` number, since 8 + 6 + 4 + 1 + 7 + 92 + 9 + 71 + 468 = 666.

8641792971468 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 8641792971396 and 8641792971405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 259216383 + ... + 259249718.

Almost surely, 2^{8641792971468} is an apocalyptic number.

It is an amenable number.

8641792971468 is an abundant number, since it is smaller than the sum of its proper divisors (13249919719380).

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

8641792971468 is a wasteful number, since it uses less digits than its factorization.

8641792971468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518466574 (or 518466569 counting only the distinct ones).

The product of its digits is 292626432, while the sum is 72.

The spelling of 8641792971468 in words is "eight trillion, six hundred forty-one billion, seven hundred ninety-two million, nine hundred seventy-one thousand, four hundred sixty-eight".