66018163600 has 135 divisors (see below), whose sum is σ = 164638138483. Its totient is φ = 25439115520.

The previous prime is 66018163529. The next prime is 66018163619. The reversal of 66018163600 is 636181066.

It is a happy number.

The square root of 66018163600 is 256940.

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

It can be written as a sum of positive squares in 4 ways, for example, as 907455376 + 65110708224 = 30124^2 + 255168^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 66018163600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 149024979 + ... + 149025421.

Almost surely, 2^66018163600 is an apocalyptic number.

66018163600 is the 256940-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66018163600

66018163600 is an abundant number, since it is smaller than the sum of its proper divisors (98619974883).

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

66018163600 is an equidigital number, since it uses as much as digits as its factorization.

66018163600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 66018163600 in words is "sixty-six billion, eighteen million, one hundred sixty-three thousand, six hundred".