464443565344464 has 40 divisors (see below), whose sum is σ = 1199870455181440. Its totient is φ = 154807049346048.

The previous prime is 464443565344379. The next prime is 464443565344469.

464443565344464 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 464443565344395 and 464443565344404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464443565344469) 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 7 ways as a sum of consecutive naturals, for example, 232508737 + ... + 234497760.

It is an arithmetic number, because the mean of its divisors is an integer number (29996761379536).

Almost surely, 2^{464443565344464} is an apocalyptic number.

It is an amenable number.

464443565344464 is an abundant number, since it is smaller than the sum of its proper divisors (735426889836976).

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

464443565344464 is a wasteful number, since it uses less digits than its factorization.

464443565344464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467027227 (or 467027221 counting only the distinct ones).

The product of its digits is 3185049600, while the sum is 66.

The spelling of 464443565344464 in words is "four hundred sixty-four trillion, four hundred forty-three billion, five hundred sixty-five million, three hundred forty-four thousand, four hundred sixty-four".