869968463841 has 27 divisors (see below), whose sum is σ = 1274370128499. Its totient is φ = 571899746592.

The previous prime is 869968463821. The next prime is 869968463851. The reversal of 869968463841 is 148364869968.

The square root of 869968463841 is 932721.

It is a perfect power (a square), and thus also a powerful number.

869968463841 is a `hidden beast` number, since 8 + 69 + 9 + 68 + 463 + 8 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 493836480225 + 376131983616 = 702735^2 + 613296^2 .

It is not a de Polignac number, because 869968463841 - 2⁵ = 869968463809 is a prime.

It is a super-4 number, since 4×869968463841⁴ (a number of 49 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 869968463841.

It is not an unprimeable number, because it can be changed into a prime (869968463821) 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 26 ways as a sum of consecutive naturals, for example, 204263770 + ... + 204268028.

Almost surely, 2^869968463841 is an apocalyptic number.

869968463841 is the 932721-st square number.

869968463841 is the 466361-st centered octagonal number.

It is an amenable number.

869968463841 is a deficient number, since it is larger than the sum of its proper divisors (404401664658).

869968463841 is an frugal number, since it uses more digits than its factorization.

869968463841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8670 (or 4335 counting only the distinct ones).

The product of its digits is 429981696, while the sum is 72.

The spelling of 869968463841 in words is "eight hundred sixty-nine billion, nine hundred sixty-eight million, four hundred sixty-three thousand, eight hundred forty-one".