882636042681 has 16 divisors (see below), whose sum is σ = 1307624304000. Its totient is φ = 588417120144.

The previous prime is 882636042653. The next prime is 882636042749. The reversal of 882636042681 is 186240636288.

882636042681 is a `hidden beast` number, since 8 + 8 + 2 + 6 + 3 + 604 + 26 + 8 + 1 = 666.

It is not a de Polignac number, because 882636042681 - 2¹⁴ = 882636026297 is a prime.

It is a super-3 number, since 3×882636042681³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (882636042611) 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 15 ways as a sum of consecutive naturals, for example, 3317020 + ... + 3573218.

It is an arithmetic number, because the mean of its divisors is an integer number (81726519000).

Almost surely, 2^882636042681 is an apocalyptic number.

It is an amenable number.

882636042681 is a deficient number, since it is larger than the sum of its proper divisors (424988261319).

882636042681 is a wasteful number, since it uses less digits than its factorization.

882636042681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383805 (or 383799 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 882636042681 in words is "eight hundred eighty-two billion, six hundred thirty-six million, forty-two thousand, six hundred eighty-one".