164541533200 has 60 divisors (see below), whose sum is σ = 431248411728. Its totient is φ = 59833283200.

The previous prime is 164541533179. The next prime is 164541533203. The reversal of 164541533200 is 2335145461.

164541533200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×164541533200² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (164541533203) 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, 18693502 + ... + 18702301.

Almost surely, 2^164541533200 is an apocalyptic number.

164541533200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164541533200 is an abundant number, since it is smaller than the sum of its proper divisors (266706878528).

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

164541533200 is a wasteful number, since it uses less digits than its factorization.

164541533200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37395832 (or 37395821 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

Adding to 164541533200 its reverse (2335145461), we get a palindrome (166876678661).

The spelling of 164541533200 in words is "one hundred sixty-four billion, five hundred forty-one million, five hundred thirty-three thousand, two hundred".