882468864288 has 288 divisors, whose sum is σ = 2789345849472. Its totient is φ = 262413312000.

The previous prime is 882468864259. The next prime is 882468864307.

It is a happy number.

882468864288 is a `hidden beast` number, since 8 + 8 + 2 + 468 + 86 + 4 + 2 + 88 = 666.

882468864288 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36144181 + ... + 36168587.

It is an arithmetic number, because the mean of its divisors is an integer number (9685228644).

Almost surely, 2^882468864288 is an apocalyptic number.

882468864288 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 882468864288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394672924736).

882468864288 is an abundant number, since it is smaller than the sum of its proper divisors (1906876985184).

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

882468864288 is a wasteful number, since it uses less digits than its factorization.

882468864288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24648 (or 24637 counting only the distinct ones).

The product of its digits is 603979776, while the sum is 72.

The spelling of 882468864288 in words is "eight hundred eighty-two billion, four hundred sixty-eight million, eight hundred sixty-four thousand, two hundred eighty-eight".