864192043008 has 288 divisors, whose sum is σ = 2958169294080. Its totient is φ = 246911016960.

The previous prime is 864192043007. The next prime is 864192043021. The reversal of 864192043008 is 800340291468.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864192043007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3359613 + ... + 3607683.

It is an arithmetic number, because the mean of its divisors is an integer number (10271421160).

Almost surely, 2^864192043008 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 864192043008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479084647040).

864192043008 is an abundant number, since it is smaller than the sum of its proper divisors (2093977251072).

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

864192043008 is an equidigital number, since it uses as much as digits as its factorization.

864192043008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248115 (or 248083 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 864192043008 in words is "eight hundred sixty-four billion, one hundred ninety-two million, forty-three thousand, eight".