465530022128 has 120 divisors (see below), whose sum is σ = 983892205440. Its totient is φ = 213129584640.

The previous prime is 465530022079. The next prime is 465530022149. The reversal of 465530022128 is 821220035564.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 465530022091 and 465530022100.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 230802176 + ... + 230804192.

It is an arithmetic number, because the mean of its divisors is an integer number (8199101712).

Almost surely, 2^465530022128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465530022128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491946102720).

465530022128 is an abundant number, since it is smaller than the sum of its proper divisors (518362183312).

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

465530022128 is a wasteful number, since it uses less digits than its factorization.

465530022128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3383 (or 3358 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

The spelling of 465530022128 in words is "four hundred sixty-five billion, five hundred thirty million, twenty-two thousand, one hundred twenty-eight".