9875677068481 has 81 divisors (see below), whose sum is σ = 12183365887203. Its totient is φ = 7981094241120.

The previous prime is 9875677068463. The next prime is 9875677068563. The reversal of 9875677068481 is 1848607765789.

The square root of 9875677068481 is 3142559.

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

It can be written as a sum of positive squares in only one way, i.e., 1157003560881 + 8718673507600 = 1075641^2 + 2952740^2 .

It is not a de Polignac number, because 9875677068481 - 2⁷ = 9875677068353 is a prime.

It is a super-2 number, since 2×9875677068481² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9875677068398 and 9875677068407.

It is not an unprimeable number, because it can be changed into a prime (9875677068421) 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 80 ways as a sum of consecutive naturals, for example, 66279711795 + ... + 66279711943.

Almost surely, 2^{9875677068481} is an apocalyptic number.

9875677068481 is the 3142559-th square number.

9875677068481 is the 1571280-th centered octagonal number.

It is an amenable number.

9875677068481 is a deficient number, since it is larger than the sum of its proper divisors (2307688818722).

9875677068481 is an equidigital number, since it uses as much as digits as its factorization.

9875677068481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 1137991680, while the sum is 76.

The spelling of 9875677068481 in words is "nine trillion, eight hundred seventy-five billion, six hundred seventy-seven million, sixty-eight thousand, four hundred eighty-one".