208641084129 has 24 divisors (see below), whose sum is σ = 318495996000. Its totient is φ = 131248296000.

The previous prime is 208641084107. The next prime is 208641084131. The reversal of 208641084129 is 921480146802.

208641084129 is a `hidden beast` number, since 208 + 6 + 410 + 8 + 4 + 1 + 29 = 666.

208641084129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 208641084129 - 2³³ = 200051149537 is a prime.

It is a super-2 number, since 2×208641084129² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (208641084199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2387604 + ... + 2473445.

It is an arithmetic number, because the mean of its divisors is an integer number (13270666500).

Almost surely, 2^208641084129 is an apocalyptic number.

It is an amenable number.

208641084129 is a deficient number, since it is larger than the sum of its proper divisors (109854911871).

208641084129 is a wasteful number, since it uses less digits than its factorization.

208641084129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4861325 (or 4861322 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 208641084129 in words is "two hundred eight billion, six hundred forty-one million, eighty-four thousand, one hundred twenty-nine".