461643256643 has 16 divisors (see below), whose sum is σ = 490951964160. Its totient is φ = 433137097536.

The previous prime is 461643256561. The next prime is 461643256673. The reversal of 461643256643 is 346652346164.

It is a cyclic number.

It is not a de Polignac number, because 461643256643 - 2²⁰ = 461642208067 is a prime.

It is a super-2 number, since 2×461643256643² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 461643256591 and 461643256600.

It is not an unprimeable number, because it can be changed into a prime (461643256673) 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 15 ways as a sum of consecutive naturals, for example, 247946 + ... + 992352.

It is an arithmetic number, because the mean of its divisors is an integer number (30684497760).

Almost surely, 2^461643256643 is an apocalyptic number.

461643256643 is a deficient number, since it is larger than the sum of its proper divisors (29308707517).

461643256643 is a wasteful number, since it uses less digits than its factorization.

461643256643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744946.

The product of its digits is 7464960, while the sum is 50.

The spelling of 461643256643 in words is "four hundred sixty-one billion, six hundred forty-three million, two hundred fifty-six thousand, six hundred forty-three".