465242242564 has 24 divisors (see below), whose sum is σ = 893508251328. Its totient is φ = 210207433440.

The previous prime is 465242242471. The next prime is 465242242567.

465242242564 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (465242242567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31650399 + ... + 31665094.

It is an arithmetic number, because the mean of its divisors is an integer number (37229510472).

Almost surely, 2^465242242564 is an apocalyptic number.

465242242564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

465242242564 is a deficient number, since it is larger than the sum of its proper divisors (428266008764).

465242242564 is a wasteful number, since it uses less digits than its factorization.

465242242564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63315675 (or 63315673 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 46.

The spelling of 465242242564 in words is "four hundred sixty-five billion, two hundred forty-two million, two hundred forty-two thousand, five hundred sixty-four".