164010420324 has 135 divisors (see below), whose sum is σ = 434530060041. Its totient is φ = 53943602400.

The previous prime is 164010420281. The next prime is 164010420341. The reversal of 164010420324 is 423024010461.

It is a happy number.

The square root of 164010420324 is 404982.

It is a perfect power (a square), and thus also a powerful number.

164010420324 is a `hidden beast` number, since 1 + 640 + 10 + 4 + 2 + 0 + 3 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19214949924 + 144795470400 = 138618^2 + 380520^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1086161649 + ... + 1086161799.

Almost surely, 2^164010420324 is an apocalyptic number.

164010420324 is the 404982-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164010420324

164010420324 is an abundant number, since it is smaller than the sum of its proper divisors (270519639717).

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

164010420324 is an equidigital number, since it uses as much as digits as its factorization.

164010420324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 164010420324 its reverse (423024010461), we get a palindrome (587034430785).

The spelling of 164010420324 in words is "one hundred sixty-four billion, ten million, four hundred twenty thousand, three hundred twenty-four".