463213303312364 has 144 divisors (see below), whose sum is σ = 979163933932800. Its totient is φ = 190704844344960.

The previous prime is 463213303312343. The next prime is 463213303312367.

463213303312364 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (463213303312367) 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 47 ways as a sum of consecutive naturals, for example, 437080799 + ... + 438139305.

It is an arithmetic number, because the mean of its divisors is an integer number (6799749541200).

Almost surely, 2^{463213303312364} is an apocalyptic number.

463213303312364 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

463213303312364 is an abundant number, since it is smaller than the sum of its proper divisors (515950630620436).

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

463213303312364 is a wasteful number, since it uses less digits than its factorization.

463213303312364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060644 (or 1060631 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 44.

It can be divided in two parts, 46321330 and 3312364, that added together give a palindrome (49633694).

The spelling of 463213303312364 in words is "four hundred sixty-three trillion, two hundred thirteen billion, three hundred three million, three hundred twelve thousand, three hundred sixty-four".