465330033564 has 192 divisors, whose sum is σ = 1251053862912. Its totient is φ = 133305350400.

The previous prime is 465330033559. The next prime is 465330033599.

It is a happy number.

465330033564 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117892639 + ... + 117896585.

It is an arithmetic number, because the mean of its divisors is an integer number (6515905536).

Almost surely, 2^465330033564 is an apocalyptic number.

465330033564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465330033564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625526931456).

465330033564 is an abundant number, since it is smaller than the sum of its proper divisors (785723829348).

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

465330033564 is a wasteful number, since it uses less digits than its factorization.

465330033564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4656 (or 4654 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 42.

It can be divided in two parts, 4653300 and 33564, that added together give a palindrome (4686864).

The spelling of 465330033564 in words is "four hundred sixty-five billion, three hundred thirty million, thirty-three thousand, five hundred sixty-four".