461686275625 has 15 divisors (see below), whose sum is σ = 576944397601. Its totient is φ = 369335431000.

The previous prime is 461686275601. The next prime is 461686275643. The reversal of 461686275625 is 526572686164.

The square root of 461686275625 is 679475.

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

It can be written as a sum of positive squares in 2 ways, for example, as 36196204009 + 425490071616 = 190253^2 + 652296^2 .

It is not a de Polignac number, because 461686275625 - 2⁵ = 461686275593 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 461686275625.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 16973286 + ... + 17000464.

Almost surely, 2^461686275625 is an apocalyptic number.

461686275625 is the 679475-th square number.

461686275625 is the 339738-th centered octagonal number.

It is an amenable number.

461686275625 is a deficient number, since it is larger than the sum of its proper divisors (115258121976).

461686275625 is an frugal number, since it uses more digits than its factorization.

461686275625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54378 (or 27184 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 58.

The spelling of 461686275625 in words is "four hundred sixty-one billion, six hundred eighty-six million, two hundred seventy-five thousand, six hundred twenty-five".