882088706961 has 48 divisors (see below), whose sum is σ = 1672129904640. Its totient is φ = 434110635360.

The previous prime is 882088706903. The next prime is 882088706971. The reversal of 882088706961 is 169607880288.

It is not a de Polignac number, because 882088706961 - 2³⁰ = 881014965137 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (882088706971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33483025 + ... + 33509358.

It is an arithmetic number, because the mean of its divisors is an integer number (34836039680).

Almost surely, 2^882088706961 is an apocalyptic number.

It is an amenable number.

882088706961 is a deficient number, since it is larger than the sum of its proper divisors (790041197679).

882088706961 is a wasteful number, since it uses less digits than its factorization.

882088706961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66992426 (or 66992423 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 882088706961 in words is "eight hundred eighty-two billion, eighty-eight million, seven hundred six thousand, nine hundred sixty-one".