163312512 has 192 divisors, whose sum is σ = 506148480. Its totient is φ = 46182400.

The previous prime is 163312511. The next prime is 163312517. The reversal of 163312512 is 215213361.

163312512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163312511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3983212 + ... + 3983252.

It is an arithmetic number, because the mean of its divisors is an integer number (2636190).

Almost surely, 2^163312512 is an apocalyptic number.

163312512 is a gapful number since it is divisible by the number (12) 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 163312512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253074240).

163312512 is an abundant number, since it is smaller than the sum of its proper divisors (342835968).

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

163312512 is a wasteful number, since it uses less digits than its factorization.

163312512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 80 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 163312512 is about 12779.3783886385. The cubic root of 163312512 is about 546.6044373609.

Adding to 163312512 its reverse (215213361), we get a palindrome (378525873).

The spelling of 163312512 in words is "one hundred sixty-three million, three hundred twelve thousand, five hundred twelve".