465445525544564 has 24 divisors (see below), whose sum is σ = 847135699199328. Its totient is φ = 223584202124640.

The previous prime is 465445525544563. The next prime is 465445525544609.

465445525544564 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 465445525544494 and 465445525544503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465445525544563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22180961942 + ... + 22180982925.

It is an arithmetic number, because the mean of its divisors is an integer number (35297320799972).

Almost surely, 2^{465445525544564} is an apocalyptic number.

It is an amenable number.

465445525544564 is a deficient number, since it is larger than the sum of its proper divisors (381690173654764).

465445525544564 is a wasteful number, since it uses less digits than its factorization.

465445525544564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44361944975 (or 44361944973 counting only the distinct ones).

The product of its digits is 4608000000, while the sum is 68.

The spelling of 465445525544564 in words is "four hundred sixty-five trillion, four hundred forty-five billion, five hundred twenty-five million, five hundred forty-four thousand, five hundred sixty-four".