208242544896 has 135 divisors (see below), whose sum is σ = 621137593461. Its totient is φ = 69392277504.

The previous prime is 208242544859. The next prime is 208242544897. The reversal of 208242544896 is 698445242802.

The square root of 208242544896 is 456336.

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

208242544896 is a `hidden beast` number, since 2 + 0 + 8 + 2 + 4 + 2 + 544 + 8 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 172112138496 + 36130406400 = 414864^2 + 190080^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (208242544897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 65710800 + ... + 65713968.

Almost surely, 2^208242544896 is an apocalyptic number.

208242544896 is the 456336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208242544896

208242544896 is an abundant number, since it is smaller than the sum of its proper divisors (412895048565).

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

208242544896 is an frugal number, since it uses more digits than its factorization.

208242544896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6366 (or 3174 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 208242544896 in words is "two hundred eight billion, two hundred forty-two million, five hundred forty-four thousand, eight hundred ninety-six".