461388166082705 has 16 divisors (see below), whose sum is σ = 556048884764880. Its totient is φ = 367521848183808.

The previous prime is 461388166082629. The next prime is 461388166082707. The reversal of 461388166082705 is 507280661883164.

It is a Cunningham number, because it is equal to 21479948²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 90864819548416 + 370523346534289 = 9532304^2 + 19248983^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-461388166082705 is a prime.

It is not an unprimeable number, because it can be changed into a prime (461388166082707) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 93985679 + ... + 98772891.

It is an arithmetic number, because the mean of its divisors is an integer number (34753055297805).

Almost surely, 2^{461388166082705} is an apocalyptic number.

It is an amenable number.

461388166082705 is a deficient number, since it is larger than the sum of its proper divisors (94660718682175).

461388166082705 is a wasteful number, since it uses less digits than its factorization.

461388166082705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4870180.

The product of its (nonzero) digits is 92897280, while the sum is 65.

The spelling of 461388166082705 in words is "four hundred sixty-one trillion, three hundred eighty-eight billion, one hundred sixty-six million, eighty-two thousand, seven hundred five".