864482112000 has 1280 divisors, whose sum is σ = 3560472115200. Its totient is φ = 205302988800.

The previous prime is 864482111989. The next prime is 864482112007. The reversal of 864482112000 is 211284468.

864482112000 is a `hidden beast` number, since 8 + 6 + 448 + 2 + 1 + 1 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (864482112007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 651455337 + ... + 651456663.

It is an arithmetic number, because the mean of its divisors is an integer number (2781618840).

Almost surely, 2^864482112000 is an apocalyptic number.

864482112000 is a gapful number since it is divisible by the number (80) 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 864482112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780236057600).

864482112000 is an abundant number, since it is smaller than the sum of its proper divisors (2695990003200).

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

864482112000 is a wasteful number, since it uses less digits than its factorization.

864482112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

Adding to 864482112000 its reverse (211284468), we get a palindrome (864693396468).

The spelling of 864482112000 in words is "eight hundred sixty-four billion, four hundred eighty-two million, one hundred twelve thousand".