205412146216002 has 24 divisors (see below), whose sum is σ = 485519618329200. Its totient is φ = 62246104913880.

The previous prime is 205412146215979. The next prime is 205412146216003. The reversal of 205412146216002 is 200612641214502.

205412146216002 is a `hidden beast` number, since 2 + 0 + 5 + 4 + 1 + 2 + 1 + 46 + 2 + 1 + 600 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (205412146216003) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 518717540752 + ... + 518717541147.

It is an arithmetic number, because the mean of its divisors is an integer number (20229984097050).

Almost surely, 2^{205412146216002} is an apocalyptic number.

205412146216002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

205412146216002 is an abundant number, since it is smaller than the sum of its proper divisors (280107472113198).

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

205412146216002 is a wasteful number, since it uses less digits than its factorization.

205412146216002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037435081918 (or 1037435081915 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 205412146216002 in words is "two hundred five trillion, four hundred twelve billion, one hundred forty-six million, two hundred sixteen thousand, two".