461610177561 has 45 divisors (see below), whose sum is σ = 746818223151. Its totient is φ = 284018883408.

The previous prime is 461610177463. The next prime is 461610177577. The reversal of 461610177561 is 165771016164.

The square root of 461610177561 is 679419.

It is a perfect power (a square), and thus also a powerful number.

461610177561 is a `hidden beast` number, since 4 + 6 + 1 + 6 + 10 + 1 + 77 + 561 = 666.

It can be written as a sum of positive squares in only one way, i.e., 68285529225 + 393324648336 = 261315^2 + 627156^2 .

It is not a de Polignac number, because 461610177561 - 2¹⁷ = 461610046489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (461610177761) 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 44 ways as a sum of consecutive naturals, for example, 79489120 + ... + 79494926.

Almost surely, 2^461610177561 is an apocalyptic number.

461610177561 is the 679419-th square number.

461610177561 is the 339710-th centered octagonal number.

It is an amenable number.

461610177561 is a deficient number, since it is larger than the sum of its proper divisors (285208045590).

461610177561 is an frugal number, since it uses more digits than its factorization.

461610177561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11652 (or 5823 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 461610177561 in words is "four hundred sixty-one billion, six hundred ten million, one hundred seventy-seven thousand, five hundred sixty-one".