461121125481 has 45 divisors (see below), whose sum is σ = 694162057831. Its totient is φ = 305055032688.

The previous prime is 461121125471. The next prime is 461121125489. The reversal of 461121125481 is 184521121164.

The square root of 461121125481 is 679059.

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

461121125481 is a `hidden beast` number, since 4 + 61 + 1 + 2 + 112 + 5 + 481 = 666.

It can be written as a sum of positive squares in only one way, i.e., 451805787225 + 9315338256 = 672165^2 + 96516^2 .

It is a de Polignac number, because none of the positive numbers 2^k-461121125481 is a prime.

It is a super-2 number, since 2×461121125481² (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 (461121125489) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1203971416 + ... + 1203971798.

Almost surely, 2^461121125481 is an apocalyptic number.

461121125481 is the 679059-th square number.

461121125481 is the 339530-th centered octagonal number.

It is an amenable number.

461121125481 is a deficient number, since it is larger than the sum of its proper divisors (233040932350).

461121125481 is an frugal number, since it uses more digits than its factorization.

461121125481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 583 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

Multiplying 461121125481 by its sum of digits (36), we get a square (16600360517316 = 4074354²).

The spelling of 461121125481 in words is "four hundred sixty-one billion, one hundred twenty-one million, one hundred twenty-five thousand, four hundred eighty-one".