646142112 has 144 divisors (see below), whose sum is σ = 2290946112. Its totient is φ = 167823360.

The previous prime is 646142071. The next prime is 646142117. The reversal of 646142112 is 211241646.

646142112 is a `hidden beast` number, since 646 + 1 + 4 + 2 + 1 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (646142117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7608 + ... + 36744.

It is an arithmetic number, because the mean of its divisors is an integer number (15909348).

Almost surely, 2^646142112 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 646142112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145473056).

646142112 is an abundant number, since it is smaller than the sum of its proper divisors (1644804000).

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

646142112 is a wasteful number, since it uses less digits than its factorization.

646142112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29171 (or 29160 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 646142112 is about 25419.3255614700. The cubic root of 646142112 is about 864.5219325854.

Adding to 646142112 its reverse (211241646), we get a palindrome (857383758).

The spelling of 646142112 in words is "six hundred forty-six million, one hundred forty-two thousand, one hundred twelve".