463162162160761 has 12 divisors (see below), whose sum is σ = 538781177553060. Its totient is φ = 396995620845600.

The previous prime is 463162162160713. The next prime is 463162162160779. The reversal of 463162162160761 is 167061261261364.

It can be written as a sum of positive squares in 2 ways, for example, as 450782706942736 + 12379455218025 = 21231644^2 + 3518445^2 .

It is not a de Polignac number, because 463162162160761 - 2²⁵ = 463162128606329 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 463162162160699 and 463162162160708.

It is not an unprimeable number, because it can be changed into a prime (463163162160761) 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 11 ways as a sum of consecutive naturals, for example, 34460611 + ... + 45976711.

It is an arithmetic number, because the mean of its divisors is an integer number (44898431462755).

Almost surely, 2^{463162162160761} is an apocalyptic number.

It is an amenable number.

463162162160761 is a deficient number, since it is larger than the sum of its proper divisors (75619015392299).

463162162160761 is a wasteful number, since it uses less digits than its factorization.

463162162160761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12336904 (or 12336897 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 52.

The spelling of 463162162160761 in words is "four hundred sixty-three trillion, one hundred sixty-two billion, one hundred sixty-two million, one hundred sixty thousand, seven hundred sixty-one".