866112249800 has 540 divisors, whose sum is σ = 2527494548355. Its totient is φ = 275947176960.

The previous prime is 866112249781. The next prime is 866112249803. The reversal of 866112249800 is 8942211668.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 563961948676 + 302150301124 = 750974^2 + 549682^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=658070.

It is not an unprimeable number, because it can be changed into a prime (866112249803) 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 134 ways as a sum of consecutive naturals, for example, 10963446161 + ... + 10963446239.

Almost surely, 2^866112249800 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 866112249800

866112249800 is an abundant number, since it is smaller than the sum of its proper divisors (1661382298555).

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

866112249800 is an equidigital number, since it uses as much as digits as its factorization.

866112249800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 47.

The spelling of 866112249800 in words is "eight hundred sixty-six billion, one hundred twelve million, two hundred forty-nine thousand, eight hundred".