882322518168 has 1024 divisors, whose sum is σ = 3371397120000. Its totient is φ = 207175034880.

The previous prime is 882322518163. The next prime is 882322518193. The reversal of 882322518168 is 861815223288.

882322518168 is a `hidden beast` number, since 8 + 82 + 32 + 2 + 518 + 16 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (882322518163) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 506789778 + ... + 506791518.

It is an arithmetic number, because the mean of its divisors is an integer number (3292380000).

Almost surely, 2^882322518168 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 882322518168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685698560000).

882322518168 is an abundant number, since it is smaller than the sum of its proper divisors (2489074601832).

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

882322518168 is a wasteful number, since it uses less digits than its factorization.

882322518168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1877 (or 1867 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 54.

The spelling of 882322518168 in words is "eight hundred eighty-two billion, three hundred twenty-two million, five hundred eighteen thousand, one hundred sixty-eight".