463047641107713 has 128 divisors (see below), whose sum is σ = 718363649203200. Its totient is φ = 294407161380864.

The previous prime is 463047641107697. The next prime is 463047641107823. The reversal of 463047641107713 is 317701146740364.

463047641107713 is a `hidden beast` number, since 4 + 63 + 0 + 476 + 4 + 1 + 107 + 7 + 1 + 3 = 666.

It is not a de Polignac number, because 463047641107713 - 2⁴ = 463047641107697 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 463047641107713.

It is not an unprimeable number, because it can be changed into a prime (463047641102713) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 131286542356 + ... + 131286545882.

It is an arithmetic number, because the mean of its divisors is an integer number (5612216009400).

Almost surely, 2^{463047641107713} is an apocalyptic number.

It is an amenable number.

463047641107713 is a deficient number, since it is larger than the sum of its proper divisors (255316008095487).

463047641107713 is a wasteful number, since it uses less digits than its factorization.

463047641107713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6536 (or 6530 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 463047641107713 in words is "four hundred sixty-three trillion, forty-seven billion, six hundred forty-one million, one hundred seven thousand, seven hundred thirteen".