463231737706761 has 27 divisors (see below), whose sum is σ = 671286366466677. Its totient is φ = 307821079163520.

The previous prime is 463231737706733. The next prime is 463231737706763. The reversal of 463231737706761 is 167607737132364.

The square root of 463231737706761 is 21522819.

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

463231737706761 is a `hidden beast` number, since 4 + 6 + 323 + 173 + 7 + 70 + 6 + 76 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 208323179894025 + 254908557812736 = 14433405^2 + 15965856^2 .

It is not a de Polignac number, because 463231737706761 - 2²¹ = 463231735609609 is a prime.

It is a super-2 number, since 2×463231737706761² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (463231737706763) 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 26 ways as a sum of consecutive naturals, for example, 20209915581 + ... + 20209938501.

Almost surely, 2^{463231737706761} is an apocalyptic number.

463231737706761 is the 21522819-th square number.

463231737706761 is the 10761410-th centered octagonal number.

It is an amenable number.

463231737706761 is a deficient number, since it is larger than the sum of its proper divisors (208054628759916).

463231737706761 is an frugal number, since it uses more digits than its factorization.

463231737706761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46474 (or 23237 counting only the distinct ones).

The product of its (nonzero) digits is 112021056, while the sum is 63.

The spelling of 463231737706761 in words is "four hundred sixty-three trillion, two hundred thirty-one billion, seven hundred thirty-seven million, seven hundred six thousand, seven hundred sixty-one".