481121189641 has 3 divisors (see below), whose sum is σ = 481121883271. Its totient is φ = 481120496012.

The previous prime is 481121189623. The next prime is 481121189657. The reversal of 481121189641 is 146981121184.

The square root of 481121189641 is 693629.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 251431042041 + 229690147600 = 501429^2 + 479260^2 .

It is not a de Polignac number, because 481121189641 - 2¹⁷ = 481121058569 is a prime.

It is a super-3 number, since 3×481121189641³ (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 481121189591 and 481121189600.

It is not an unprimeable number, because it can be changed into a prime (481124189641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 346815 + ... + 1040443.

Almost surely, 2^481121189641 is an apocalyptic number.

481121189641 is the 693629-th square number.

481121189641 is the 346815-th centered octagonal number.

It is an amenable number.

481121189641 is a deficient number, since it is larger than the sum of its proper divisors (693630).

481121189641 is an frugal number, since it uses more digits than its factorization.

481121189641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387258 (or 693629 counting only the distinct ones).

The product of its digits is 110592, while the sum is 46.

The spelling of 481121189641 in words is "four hundred eighty-one billion, one hundred twenty-one million, one hundred eighty-nine thousand, six hundred forty-one".