208611681201 has 288 divisors, whose sum is σ = 412367585280. Its totient is φ = 103733784000.

The previous prime is 208611681169. The next prime is 208611681259. The reversal of 208611681201 is 102186116802.

208611681201 is a `hidden beast` number, since 20 + 8 + 611 + 6 + 8 + 12 + 0 + 1 = 666.

It is not a de Polignac number, because 208611681201 - 2⁵ = 208611681169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (208611681301) 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 287 ways as a sum of consecutive naturals, for example, 630246606 + ... + 630246936.

Almost surely, 2^208611681201 is an apocalyptic number.

208611681201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

208611681201 is a deficient number, since it is larger than the sum of its proper divisors (203755904079).

208611681201 is a wasteful number, since it uses less digits than its factorization.

208611681201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 208611681201 in words is "two hundred eight billion, six hundred eleven million, six hundred eighty-one thousand, two hundred one".