463656656364 has 96 divisors (see below), whose sum is σ = 1212106049280. Its totient is φ = 136752864000.

The previous prime is 463656656293. The next prime is 463656656369.

463656656364 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 463656656298 and 463656656307.

It is not an unprimeable number, because it can be changed into a prime (463656656369) 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 31 ways as a sum of consecutive naturals, for example, 491862 + ... + 1081314.

It is an arithmetic number, because the mean of its divisors is an integer number (12626104680).

Almost surely, 2^463656656364 is an apocalyptic number.

463656656364 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463656656364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606053024640).

463656656364 is an abundant number, since it is smaller than the sum of its proper divisors (748449392916).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

463656656364 is a wasteful number, since it uses less digits than its factorization.

463656656364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589631 (or 589629 counting only the distinct ones).

The product of its digits is 167961600, while the sum is 60.

The spelling of 463656656364 in words is "four hundred sixty-three billion, six hundred fifty-six million, six hundred fifty-six thousand, three hundred sixty-four".