514146216200 has 48 divisors (see below), whose sum is σ = 1195485040980. Its totient is φ = 205642127360.

The previous prime is 514146216187. The next prime is 514146216223. The reversal of 514146216200 is 2612641415.

It can be written as a sum of positive squares in 6 ways, for example, as 499631267716 + 14514948484 = 706846^2 + 120478^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2595884 + ... + 2786916.

Almost surely, 2^514146216200 is an apocalyptic number.

514146216200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

514146216200 is an abundant number, since it is smaller than the sum of its proper divisors (681338824780).

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

514146216200 is a wasteful number, since it uses less digits than its factorization.

514146216200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204506 (or 204497 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

Adding to 514146216200 its reverse (2612641415), we get a palindrome (516758857615).

The spelling of 514146216200 in words is "five hundred fourteen billion, one hundred forty-six million, two hundred sixteen thousand, two hundred".