465677884544041 has 27 divisors (see below), whose sum is σ = 516866386391013. Its totient is φ = 419361845522880.

The previous prime is 465677884544029. The next prime is 465677884544087. The reversal of 465677884544041 is 140445488776564.

The square root of 465677884544041 is 21579571.

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

It can be written as a sum of positive squares in 4 ways, for example, as 310177084304025 + 155500800240016 = 17611845^2 + 12469996^2 .

It is not a de Polignac number, because 465677884544041 - 2²⁵ = 465677850989609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (465677884544021) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11501891100 + ... + 11501931586.

Almost surely, 2^{465677884544041} is an apocalyptic number.

465677884544041 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

465677884544041 is the 21579571-st square number.

465677884544041 is the 10789786-th centered octagonal number.

It is an amenable number.

465677884544041 is a deficient number, since it is larger than the sum of its proper divisors (51188501846972).

465677884544041 is an frugal number, since it uses more digits than its factorization.

465677884544041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81082 (or 40541 counting only the distinct ones).

The product of its (nonzero) digits is 2890137600, while the sum is 73.

The spelling of 465677884544041 in words is "four hundred sixty-five trillion, six hundred seventy-seven billion, eight hundred eighty-four million, five hundred forty-four thousand, forty-one".