461635506020466 has 48 divisors (see below), whose sum is σ = 1004118276683808. Its totient is φ = 153277288396800.

The previous prime is 461635506020461. The next prime is 461635506020489. The reversal of 461635506020466 is 664020605536164.

461635506020466 is a `hidden beast` number, since 4 + 6 + 1 + 6 + 3 + 550 + 6 + 0 + 20 + 4 + 66 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (461635506020461) 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 23 ways as a sum of consecutive naturals, for example, 299045821 + ... + 300585551.

It is an arithmetic number, because the mean of its divisors is an integer number (20919130764246).

Almost surely, 2^{461635506020466} is an apocalyptic number.

461635506020466 is an abundant number, since it is smaller than the sum of its proper divisors (542482770663342).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

461635506020466 is a wasteful number, since it uses less digits than its factorization.

461635506020466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604807 (or 1604804 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 461635506020466 in words is "four hundred sixty-one trillion, six hundred thirty-five billion, five hundred six million, twenty thousand, four hundred sixty-six".