461606633433101 has 12 divisors (see below), whose sum is σ = 501746792282208. Its totient is φ = 424478284695504.

The previous prime is 461606633433083. The next prime is 461606633433119. The reversal of 461606633433101 is 101334336606164.

It is an interprime number because it is at equal distance from previous prime (461606633433083) and next prime (461606633433119).

It is not a de Polignac number, because 461606633433101 - 2¹⁴ = 461606633416717 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461606633433601) 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 11 ways as a sum of consecutive naturals, for example, 5192731595 + ... + 5192820488.

It is an arithmetic number, because the mean of its divisors is an integer number (41812232690184).

Almost surely, 2^{461606633433101} is an apocalyptic number.

It is an amenable number.

461606633433101 is a deficient number, since it is larger than the sum of its proper divisors (40140158849107).

461606633433101 is a wasteful number, since it uses less digits than its factorization.

461606633433101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10385552372 (or 10385552359 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 47.

The spelling of 461606633433101 in words is "four hundred sixty-one trillion, six hundred six billion, six hundred thirty-three million, four hundred thirty-three thousand, one hundred one".