461732481081 has 27 divisors (see below), whose sum is σ = 692646099951. Its totient is φ = 307784960568.

The previous prime is 461732481073. The next prime is 461732481083. The reversal of 461732481081 is 180184237164.

The square root of 461732481081 is 679509.

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

461732481081 is a `hidden beast` number, since 4 + 61 + 7 + 32 + 481 + 0 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 400297901481 + 61434579600 = 632691^2 + 247860^2 .

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 461732481081 - 2³ = 461732481073 is a prime.

It is a super-2 number, since 2×461732481081² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (461732481083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 55036035 + ... + 55044423.

Almost surely, 2^461732481081 is an apocalyptic number.

461732481081 is the 679509-th square number.

461732481081 is the 339755-th centered octagonal number.

It is an amenable number.

461732481081 is a deficient number, since it is larger than the sum of its proper divisors (230913618870).

461732481081 is an frugal number, since it uses more digits than its factorization.

461732481081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16802 (or 8392 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 461732481081 in words is "four hundred sixty-one billion, seven hundred thirty-two million, four hundred eighty-one thousand, eighty-one".