461545633206 has 96 divisors (see below), whose sum is σ = 1175204878848. Its totient is φ = 128164279680.

The previous prime is 461545633127. The next prime is 461545633207. The reversal of 461545633206 is 602336545164.

461545633206 is a `hidden beast` number, since 4 + 6 + 1 + 5 + 4 + 5 + 633 + 2 + 0 + 6 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461545633207) 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 47 ways as a sum of consecutive naturals, for example, 1188805 + ... + 1528511.

It is an arithmetic number, because the mean of its divisors is an integer number (12241717488).

Almost surely, 2^461545633206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461545633206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587602439424).

461545633206 is an abundant number, since it is smaller than the sum of its proper divisors (713659245642).

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

461545633206 is a wasteful number, since it uses less digits than its factorization.

461545633206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340026 (or 340023 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 461545633206 in words is "four hundred sixty-one billion, five hundred forty-five million, six hundred thirty-three thousand, two hundred six".