412643613461 has 48 divisors (see below), whose sum is σ = 470615436720. Its totient is φ = 360406056960.

The previous prime is 412643613443. The next prime is 412643613469. The reversal of 412643613461 is 164316346214.

It can be written as a sum of positive squares in 8 ways, for example, as 76845384100 + 335798229361 = 277210^2 + 579481^2 .

It is not a de Polignac number, because 412643613461 - 2²⁶ = 412576504597 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412643613469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96207605 + ... + 96211893.

It is an arithmetic number, because the mean of its divisors is an integer number (9804488265).

Almost surely, 2^412643613461 is an apocalyptic number.

It is an amenable number.

412643613461 is a deficient number, since it is larger than the sum of its proper divisors (57971823259).

412643613461 is a wasteful number, since it uses less digits than its factorization.

412643613461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4662 (or 4643 counting only the distinct ones).

The product of its digits is 248832, while the sum is 41.

Adding to 412643613461 its reverse (164316346214), we get a palindrome (576959959675).

The spelling of 412643613461 in words is "four hundred twelve billion, six hundred forty-three million, six hundred thirteen thousand, four hundred sixty-one".