164224512 has 120 divisors (see below), whose sum is σ = 479083176. Its totient is φ = 54153216.

The previous prime is 164224507. The next prime is 164224513. The reversal of 164224512 is 215422461.

164224512 is a `hidden beast` number, since 1 + 642 + 2 + 4 + 5 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164224513) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 723343 + ... + 723569.

Almost surely, 2^164224512 is an apocalyptic number.

164224512 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 164224512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239541588).

164224512 is an abundant number, since it is smaller than the sum of its proper divisors (314858664).

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

164224512 is a wasteful number, since it uses less digits than its factorization.

164224512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 389 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 164224512 is about 12815.0111978102. The cubic root of 164224512 is about 547.6200324802.

Adding to 164224512 its reverse (215422461), we get a palindrome (379646973).

It can be divided in two parts, 164 and 224512, that added together give a square (224676 = 474²).

The spelling of 164224512 in words is "one hundred sixty-four million, two hundred twenty-four thousand, five hundred twelve".