66105113346 has 24 divisors (see below), whose sum is σ = 143577951660. Its totient is φ = 21981159936.

The previous prime is 66105113273. The next prime is 66105113353. The reversal of 66105113346 is 64331150166.

66105113346 is a `hidden beast` number, since 6 + 610 + 5 + 1 + 1 + 3 + 34 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 65658425121 + 446688225 = 256239^2 + 21135^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 66105113346.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4482255 + ... + 4496978.

Almost surely, 2^66105113346 is an apocalyptic number.

66105113346 is an abundant number, since it is smaller than the sum of its proper divisors (77472838314).

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

66105113346 is a wasteful number, since it uses less digits than its factorization.

66105113346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8979650 (or 8979647 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 66105113346 in words is "sixty-six billion, one hundred five million, one hundred thirteen thousand, three hundred forty-six".