35342660104164 has 108 divisors (see below), whose sum is σ = 104953204049148. Its totient is φ = 9997923600000.

The previous prime is 35342660104127. The next prime is 35342660104187. The reversal of 35342660104164 is 46140106624353.

35342660104164 is a `hidden beast` number, since 3 + 5 + 3 + 4 + 26 + 601 + 0 + 4 + 16 + 4 = 666.

35342660104164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 34347570062400 + 995090041764 = 5860680^2 + 997542^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 99007587 + ... + 99363914.

It is an arithmetic number, because the mean of its divisors is an integer number (971788926381).

Almost surely, 2^{35342660104164} is an apocalyptic number.

It is an amenable number.

35342660104164 is an abundant number, since it is smaller than the sum of its proper divisors (69610543944984).

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

35342660104164 is a wasteful number, since it uses less digits than its factorization.

35342660104164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198371626 (or 198371614 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 35342660104164 in words is "thirty-five trillion, three hundred forty-two billion, six hundred sixty million, one hundred four thousand, one hundred sixty-four".