882237228322032 has 480 divisors, whose sum is σ = 2801373455623680. Its totient is φ = 265627873843200.

The previous prime is 882237228322019. The next prime is 882237228322039. The reversal of 882237228322032 is 230223822732288.

882237228322032 is a `hidden beast` number, since 8 + 8 + 22 + 372 + 28 + 3 + 220 + 3 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 882237228322032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (882237228322039) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 34140973432 + ... + 34140999272.

It is an arithmetic number, because the mean of its divisors is an integer number (5836194699216).

Almost surely, 2^{882237228322032} 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 882237228322032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400686727811840).

882237228322032 is an abundant number, since it is smaller than the sum of its proper divisors (1919136227301648).

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

882237228322032 is a wasteful number, since it uses less digits than its factorization.

882237228322032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30050 (or 30027 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 882237228322032 in words is "eight hundred eighty-two trillion, two hundred thirty-seven billion, two hundred twenty-eight million, three hundred twenty-two thousand, thirty-two".