465543345564 has 96 divisors (see below), whose sum is σ = 1338273511680. Its totient is φ = 138761035200.

The previous prime is 465543345563. The next prime is 465543345599.

465543345564 is a `hidden beast` number, since 4 + 6 + 5 + 5 + 4 + 33 + 45 + 564 = 666.

465543345564 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 465543345564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465543345563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3139594 + ... + 3284529.

It is an arithmetic number, because the mean of its divisors is an integer number (13940349080).

Almost surely, 2^465543345564 is an apocalyptic number.

465543345564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

465543345564 is an abundant number, since it is smaller than the sum of its proper divisors (872730166116).

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

465543345564 is a wasteful number, since it uses less digits than its factorization.

465543345564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6424208 (or 6424200 counting only the distinct ones).

The product of its digits is 51840000, while the sum is 54.

The spelling of 465543345564 in words is "four hundred sixty-five billion, five hundred forty-three million, three hundred forty-five thousand, five hundred sixty-four".