882273288312 has 128 divisors (see below), whose sum is σ = 2651789280000. Its totient is φ = 270181941120.

The previous prime is 882273288289. The next prime is 882273288319. The reversal of 882273288312 is 213882372288.

882273288312 is a `hidden beast` number, since 8 + 8 + 227 + 328 + 83 + 12 = 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 (882273288319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152062 + ... + 1337037.

It is an arithmetic number, because the mean of its divisors is an integer number (20717103750).

Almost surely, 2^882273288312 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 882273288312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325894640000).

882273288312 is an abundant number, since it is smaller than the sum of its proper divisors (1769515991688).

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

882273288312 is a wasteful number, since it uses less digits than its factorization.

882273288312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489338 (or 1489328 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The spelling of 882273288312 in words is "eight hundred eighty-two billion, two hundred seventy-three million, two hundred eighty-eight thousand, three hundred twelve".