414606101117 has 16 divisors (see below), whose sum is σ = 470117760000. Its totient is φ = 362478763584.

The previous prime is 414606101101. The next prime is 414606101123. The reversal of 414606101117 is 711101606414.

It is a cyclic number.

It is not a de Polignac number, because 414606101117 - 2⁴ = 414606101101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414606101197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 774884 + ... + 1195682.

It is an arithmetic number, because the mean of its divisors is an integer number (29382360000).

Almost surely, 2^414606101117 is an apocalyptic number.

It is an amenable number.

414606101117 is a deficient number, since it is larger than the sum of its proper divisors (55511658883).

414606101117 is a wasteful number, since it uses less digits than its factorization.

414606101117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424820.

The product of its (nonzero) digits is 4032, while the sum is 32.

The spelling of 414606101117 in words is "four hundred fourteen billion, six hundred six million, one hundred one thousand, one hundred seventeen".