882561318912 has 1428 divisors, whose sum is σ = 3429658835820. Its totient is φ = 224737099776.

The previous prime is 882561318893. The next prime is 882561318929. The reversal of 882561318912 is 219813165288.

882561318912 is a `hidden beast` number, since 8 + 8 + 2 + 5 + 613 + 1 + 8 + 9 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 283262386176 + 599298932736 = 532224^2 + 774144^2 .

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

Its product of digits (1658880) is a multiple of the sum of its prime divisors (54).

It is an unprimeable number.

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 83 ways as a sum of consecutive naturals, for example, 30433148914 + ... + 30433148942.

Almost surely, 2^882561318912 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 882561318912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714829417910).

882561318912 is an abundant number, since it is smaller than the sum of its proper divisors (2547097516908).

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

882561318912 is an frugal number, since it uses more digits than its factorization.

882561318912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 54 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 54.

The spelling of 882561318912 in words is "eight hundred eighty-two billion, five hundred sixty-one million, three hundred eighteen thousand, nine hundred twelve".