465559322112 has 520 divisors, whose sum is σ = 1467892265400. Its totient is φ = 147295604736.

The previous prime is 465559322093. The next prime is 465559322117. The reversal of 465559322112 is 211223955564.

465559322112 is a `hidden beast` number, since 4 + 6 + 55 + 593 + 2 + 2 + 1 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465559322117) by changing a digit.

It is a polite number, since it can be written in 51 ways as a sum of consecutive naturals, for example, 7890835939 + ... + 7890835997.

Almost surely, 2^465559322112 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 465559322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733946132700).

465559322112 is an abundant number, since it is smaller than the sum of its proper divisors (1002332943288).

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

465559322112 is an frugal number, since it uses more digits than its factorization.

465559322112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 93 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The spelling of 465559322112 in words is "four hundred sixty-five billion, five hundred fifty-nine million, three hundred twenty-two thousand, one hundred twelve".