481609052121649 has 27 divisors (see below), whose sum is σ = 488445514891243. Its totient is φ = 474867870700688.

The previous prime is 481609052121611. The next prime is 481609052121781. The reversal of 481609052121649 is 946121250906184.

The square root of 481609052121649 is 21945593.

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

It can be written as a sum of positive squares in only one way, i.e., 26958681230625 + 454650370891024 = 5192175^2 + 21322532^2 .

It is not a de Polignac number, because 481609052121649 - 2¹³ = 481609052113457 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 481609052121593 and 481609052121602.

It is not an unprimeable number, because it can be changed into a prime (481609052121149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 744372568644 + ... + 744372569290.

Almost surely, 2^{481609052121649} is an apocalyptic number.

481609052121649 is the 21945593-rd square number.

481609052121649 is the 10972797-th centered octagonal number.

It is an amenable number.

481609052121649 is a deficient number, since it is larger than the sum of its proper divisors (6836462769594).

481609052121649 is an frugal number, since it uses more digits than its factorization.

481609052121649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 58.

The spelling of 481609052121649 in words is "four hundred eighty-one trillion, six hundred nine billion, fifty-two million, one hundred twenty-one thousand, six hundred forty-nine".