461968422561 has 24 divisors (see below), whose sum is σ = 677336796864. Its totient is φ = 303342130080.

The previous prime is 461968422533. The next prime is 461968422583. The reversal of 461968422561 is 165224869164.

It is a happy number.

461968422561 is a `hidden beast` number, since 4 + 6 + 19 + 68 + 4 + 2 + 2 + 561 = 666.

It is not a de Polignac number, because 461968422561 - 2¹¹ = 461968420513 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 461968422498 and 461968422507.

It is not an unprimeable number, because it can be changed into a prime (461968422161) 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 23 ways as a sum of consecutive naturals, for example, 4916755 + ... + 5009831.

It is an arithmetic number, because the mean of its divisors is an integer number (28222366536).

Almost surely, 2^461968422561 is an apocalyptic number.

It is an amenable number.

461968422561 is a deficient number, since it is larger than the sum of its proper divisors (215368374303).

461968422561 is a wasteful number, since it uses less digits than its factorization.

461968422561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101381 (or 101378 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 461968422561 in words is "four hundred sixty-one billion, nine hundred sixty-eight million, four hundred twenty-two thousand, five hundred sixty-one".