164523312 has 200 divisors, whose sum is σ = 506294976. Its totient is φ = 51508224.

The previous prime is 164523311. The next prime is 164523313. The reversal of 164523312 is 213325461.

164523312 is a `hidden beast` number, since 1 + 645 + 2 + 3 + 3 + 12 = 666.

164523312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (164523311) and next prime (164523313).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (164523311) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2253708 + ... + 2253780.

Almost surely, 2^164523312 is an apocalyptic number.

164523312 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 164523312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253147488).

164523312 is an abundant number, since it is smaller than the sum of its proper divisors (341771664).

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

164523312 is a wasteful number, since it uses less digits than its factorization.

164523312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 162 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 164523312 is about 12826.6641025638. The cubic root of 164523312 is about 547.9519555798.

Adding to 164523312 its reverse (213325461), we get a palindrome (377848773).

The spelling of 164523312 in words is "one hundred sixty-four million, five hundred twenty-three thousand, three hundred twelve".