8646411400 has 96 divisors (see below), whose sum is σ = 22397316480. Its totient is φ = 3077216000.

The previous prime is 8646411379. The next prime is 8646411401. The reversal of 8646411400 is 41146468.

It is not an unprimeable number, because it can be changed into a prime (8646411401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61590 + ... + 145210.

It is an arithmetic number, because the mean of its divisors is an integer number (233305380).

Almost surely, 2^8646411400 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 8646411400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11198658240).

8646411400 is an abundant number, since it is smaller than the sum of its proper divisors (13750905080).

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

8646411400 is a wasteful number, since it uses less digits than its factorization.

8646411400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83695 (or 83686 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 8646411400 is about 92986.0817542066. The cubic root of 8646411400 is about 2052.4785725436.

Adding to 8646411400 its reverse (41146468), we get a palindrome (8687557868).

The spelling of 8646411400 in words is "eight billion, six hundred forty-six million, four hundred eleven thousand, four hundred".