461553108129 has 27 divisors (see below), whose sum is σ = 669511204947. Its totient is φ = 306404462016.

The previous prime is 461553108119. The next prime is 461553108193. The reversal of 461553108129 is 921801355164.

It is a happy number.

The square root of 461553108129 is 679377.

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

461553108129 is a `hidden beast` number, since 4 + 6 + 1 + 553 + 10 + 81 + 2 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 51758525025 + 409794583104 = 227505^2 + 640152^2 .

It is not a de Polignac number, because 461553108129 - 2³⁷ = 324114154657 is a prime.

It is not an unprimeable number, because it can be changed into a prime (461553108119) 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, 882510462 + ... + 882510984.

Almost surely, 2^461553108129 is an apocalyptic number.

461553108129 is the 679377-th square number.

461553108129 is the 339689-th centered octagonal number.

It is an amenable number.

461553108129 is a deficient number, since it is larger than the sum of its proper divisors (207958096818).

461553108129 is an frugal number, since it uses more digits than its factorization.

461553108129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 461553108129 in words is "four hundred sixty-one billion, five hundred fifty-three million, one hundred eight thousand, one hundred twenty-nine".