465982351641 has 27 divisors (see below), whose sum is σ = 678377201151. Its totient is φ = 308231568144.

The previous prime is 465982351633. The next prime is 465982351663. The reversal of 465982351641 is 146153289564.

The square root of 465982351641 is 682629.

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

465982351641 is a `hidden beast` number, since 4 + 6 + 5 + 9 + 82 + 3 + 516 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14124134025 + 451858217616 = 118845^2 + 672204^2 .

It is not a de Polignac number, because 465982351641 - 2³ = 465982351633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (465982356641) 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, 284655475 + ... + 284657111.

Almost surely, 2^465982351641 is an apocalyptic number.

465982351641 is the 682629-th square number.

465982351641 is the 341315-th centered octagonal number.

It is an amenable number.

465982351641 is a deficient number, since it is larger than the sum of its proper divisors (212394849510).

465982351641 is an frugal number, since it uses more digits than its factorization.

465982351641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3558 (or 1779 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 465982351641 in words is "four hundred sixty-five billion, nine hundred eighty-two million, three hundred fifty-one thousand, six hundred forty-one".