208961130542112 has 144 divisors (see below), whose sum is σ = 653559281182080. Its totient is φ = 62927738113536.

The previous prime is 208961130542077. The next prime is 208961130542117. The reversal of 208961130542112 is 211245031169802.

208961130542112 is a `hidden beast` number, since 2 + 0 + 8 + 9 + 61 + 1 + 30 + 542 + 1 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (208961130542117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 593571562 + ... + 593923497.

It is an arithmetic number, because the mean of its divisors is an integer number (4538606119320).

Almost surely, 2^{208961130542112} is an apocalyptic number.

It is an amenable number.

208961130542112 is an abundant number, since it is smaller than the sum of its proper divisors (444598150639968).

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

208961130542112 is a wasteful number, since it uses less digits than its factorization.

208961130542112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187495135 (or 1187495124 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 208961130542112 in words is "two hundred eight trillion, nine hundred sixty-one billion, one hundred thirty million, five hundred forty-two thousand, one hundred twelve".