461465636002047 has 12 divisors (see below), whose sum is σ = 666617776556160. Its totient is φ = 307617771643488.

The previous prime is 461465636002009. The next prime is 461465636002069. The reversal of 461465636002047 is 740200636564164.

It is a happy number.

461465636002047 is a `hidden beast` number, since 4 + 6 + 1 + 4 + 6 + 5 + 6 + 3 + 600 + 20 + 4 + 7 = 666.

It is not a de Polignac number, because 461465636002047 - 2¹⁰ = 461465636001023 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 461465636001984 and 461465636002002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461465636402047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2165361798 + ... + 2165574899.

It is an arithmetic number, because the mean of its divisors is an integer number (55551481379680).

Almost surely, 2^{461465636002047} is an apocalyptic number.

461465636002047 is a deficient number, since it is larger than the sum of its proper divisors (205152140554113).

461465636002047 is a wasteful number, since it uses less digits than its factorization.

461465636002047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4330948542 (or 4330948539 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 461465636002047 in words is "four hundred sixty-one trillion, four hundred sixty-five billion, six hundred thirty-six million, two thousand, forty-seven".