41874664689 has 189 divisors, whose sum is σ = 76163034801. Its totient is φ = 22984378560.

The previous prime is 41874664687. The next prime is 41874664721. The reversal of 41874664689 is 98646647814.

The square root of 41874664689 is 204633.

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

41874664689 is a `hidden beast` number, since 41 + 8 + 74 + 66 + 468 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1086823089 + 40787841600 = 32967^2 + 201960^2 .

It is not a de Polignac number, because 41874664689 - 2¹ = 41874664687 is a prime.

It is not an unprimeable number, because it can be changed into a prime (41874664687) 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 188 ways as a sum of consecutive naturals, for example, 790087987 + ... + 790088039.

Almost surely, 2^41874664689 is an apocalyptic number.

41874664689 is the 204633-rd square number.

41874664689 is the 102317-th centered octagonal number.

It is an amenable number.

41874664689 is a deficient number, since it is larger than the sum of its proper divisors (34288370112).

41874664689 is an equidigital number, since it uses as much as digits as its factorization.

41874664689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 80 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 41874664689 in words is "forty-one billion, eight hundred seventy-four million, six hundred sixty-four thousand, six hundred eighty-nine".