41985687681 has 18 divisors (see below), whose sum is σ = 70547380722. Its totient is φ = 23991821280.

The previous prime is 41985687659. The next prime is 41985687721. The reversal of 41985687681 is 18678658914.

41985687681 is a `hidden beast` number, since 4 + 1 + 9 + 8 + 568 + 7 + 68 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29616689025 + 12368998656 = 172095^2 + 111216^2 .

It is not a de Polignac number, because 41985687681 - 2¹⁹ = 41985163393 is a prime.

It is a super-2 number, since 2×41985687681² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (41985687631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 47602380 + ... + 47603261.

It is an arithmetic number, because the mean of its divisors is an integer number (3919298929).

Almost surely, 2^41985687681 is an apocalyptic number.

It is an amenable number.

41985687681 is a deficient number, since it is larger than the sum of its proper divisors (28561693041).

41985687681 is a wasteful number, since it uses less digits than its factorization.

41985687681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95205661 (or 95205651 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 63.

The spelling of 41985687681 in words is "forty-one billion, nine hundred eighty-five million, six hundred eighty-seven thousand, six hundred eighty-one".