4643136313464 has 96 divisors (see below), whose sum is σ = 12949465455360. Its totient is φ = 1386010781760.

The previous prime is 4643136313399. The next prime is 4643136313477.

4643136313464 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 11737344 + ... + 12126479.

It is an arithmetic number, because the mean of its divisors is an integer number (134890265160).

Almost surely, 2^{4643136313464} is an apocalyptic number.

4643136313464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4643136313464 is an abundant number, since it is smaller than the sum of its proper divisors (8306329141896).

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

4643136313464 is a wasteful number, since it uses less digits than its factorization.

4643136313464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23863921 (or 23863906 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 48.

The spelling of 4643136313464 in words is "four trillion, six hundred forty-three billion, one hundred thirty-six million, three hundred thirteen thousand, four hundred sixty-four".