646110516100 has 81 divisors (see below), whose sum is σ = 1631109591237. Its totient is φ = 221504314080.

The previous prime is 646110516083. The next prime is 646110516109. The reversal of 646110516100 is 1615011646.

The square root of 646110516100 is 803810.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 232599785796 + 413510730304 = 482286^2 + 643048^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (646110516109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 56260959 + ... + 56272441.

Almost surely, 2^646110516100 is an apocalyptic number.

646110516100 is the 803810-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 646110516100

646110516100 is an abundant number, since it is smaller than the sum of its proper divisors (984999075137).

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

646110516100 is an equidigital number, since it uses as much as digits as its factorization.

646110516100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22994 (or 11497 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

Adding to 646110516100 its reverse (1615011646), we get a palindrome (647725527746).

The spelling of 646110516100 in words is "six hundred forty-six billion, one hundred ten million, five hundred sixteen thousand, one hundred".