882466649968 has 80 divisors (see below), whose sum is σ = 1844789354496. Its totient is φ = 407742888960.

The previous prime is 882466649941. The next prime is 882466650001. The reversal of 882466649968 is 869946664288.

It is a junction number, because it is equal to n+sod(n) for n = 882466649894 and 882466649903.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6699721 + ... + 6830167.

Almost surely, 2^882466649968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 882466649968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922394677248).

882466649968 is an abundant number, since it is smaller than the sum of its proper divisors (962322704528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

882466649968 is a wasteful number, since it uses less digits than its factorization.

882466649968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131102 (or 131096 counting only the distinct ones).

The product of its digits is 1719926784, while the sum is 76.

The spelling of 882466649968 in words is "eight hundred eighty-two billion, four hundred sixty-six million, six hundred forty-nine thousand, nine hundred sixty-eight".