465443484344564 has 18 divisors (see below), whose sum is σ = 895305545300082. Its totient is φ = 211565220156400.

The previous prime is 465443484344551. The next prime is 465443484344593.

465443484344564 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 258691581867664 + 206751902476900 = 16083892^2 + 14378870^2 .

It is a junction number, because it is equal to n+sod(n) for n = 465443484344494 and 465443484344503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 480830045327 + ... + 480830046294.

Almost surely, 2^{465443484344564} is an apocalyptic number.

465443484344564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

465443484344564 is a deficient number, since it is larger than the sum of its proper divisors (429862060955518).

465443484344564 is a wasteful number, since it uses less digits than its factorization.

465443484344564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961660091647 (or 961660091634 counting only the distinct ones).

The product of its digits is 4246732800, while the sum is 68.

The spelling of 465443484344564 in words is "four hundred sixty-five trillion, four hundred forty-three billion, four hundred eighty-four million, three hundred forty-four thousand, five hundred sixty-four".