414660085101 has 12 divisors (see below), whose sum is σ = 598959351900. Its totient is φ = 276437335680.

The previous prime is 414660085061. The next prime is 414660085111. The reversal of 414660085101 is 101580066414.

414660085101 is a `hidden beast` number, since 4 + 1 + 46 + 600 + 8 + 5 + 1 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 164085755625 + 250574329476 = 405075^2 + 500574^2 .

It is not a de Polignac number, because 414660085101 - 2⁹ = 414660084589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414660085111) 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 11 ways as a sum of consecutive naturals, for example, 1232911 + ... + 1532771.

It is an arithmetic number, because the mean of its divisors is an integer number (49913279325).

Almost surely, 2^414660085101 is an apocalyptic number.

It is an amenable number.

414660085101 is a deficient number, since it is larger than the sum of its proper divisors (184299266799).

414660085101 is a wasteful number, since it uses less digits than its factorization.

414660085101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453516 (or 453513 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 414660085101 in words is "four hundred fourteen billion, six hundred sixty million, eighty-five thousand, one hundred one".