164445413000 has 96 divisors (see below), whose sum is σ = 422964785880. Its totient is φ = 59798288000.

The previous prime is 164445412997. The next prime is 164445413009. The reversal of 164445413000 is 314544461.

164445413000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 75830839876 + 88614573124 = 275374^2 + 297682^2 .

It is not an unprimeable number, because it can be changed into a prime (164445413009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 558527 + ... + 800526.

Almost surely, 2^164445413000 is an apocalyptic number.

164445413000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164445413000 is an abundant number, since it is smaller than the sum of its proper divisors (258519372880).

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

164445413000 is a wasteful number, since it uses less digits than its factorization.

164445413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359096 (or 1359071 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 164445413000 its reverse (314544461), we get a palindrome (164759957461).

The spelling of 164445413000 in words is "one hundred sixty-four billion, four hundred forty-five million, four hundred thirteen thousand".