467868312081 has 15 divisors (see below), whose sum is σ = 698923588363. Its totient is φ = 311908104000.

The previous prime is 467868312071. The next prime is 467868312143. The reversal of 467868312081 is 180213868764.

The square root of 467868312081 is 684009.

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

467868312081 is a `hidden beast` number, since 467 + 8 + 6 + 83 + 1 + 20 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 336447561681 + 131420750400 = 580041^2 + 362520^2 .

It is not a de Polignac number, because 467868312081 - 2¹¹ = 467868310033 is a prime.

It is a super-2 number, since 2×467868312081² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (467868312011) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 6118081 + ... + 6194081.

Almost surely, 2^467868312081 is an apocalyptic number.

467868312081 is the 684009-th square number.

467868312081 is the 342005-th centered octagonal number.

It is an amenable number.

467868312081 is a deficient number, since it is larger than the sum of its proper divisors (231055276282).

467868312081 is an frugal number, since it uses more digits than its factorization.

467868312081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152014 (or 76004 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 467868312081 in words is "four hundred sixty-seven billion, eight hundred sixty-eight million, three hundred twelve thousand, eighty-one".