164025000000 has 567 divisors, whose sum is σ = 610257011767. Its totient is φ = 43740000000.

The previous prime is 164024999989. The next prime is 164025000019. The reversal of 164025000000 is 520461.

It is a happy number.

The square root of 164025000000 is 405000.

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

164025000000 is a `hidden beast` number, since 1 + 640 + 25 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 116619518016 + 47405481984 = 341496^2 + 217728^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=4, B=450.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 32804999998 + ... + 32805000002.

Almost surely, 2^164025000000 is an apocalyptic number.

164025000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

164025000000 is the 405000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164025000000

164025000000 is an abundant number, since it is smaller than the sum of its proper divisors (446232011767).

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

164025000000 is an frugal number, since it uses more digits than its factorization.

164025000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 164025000000 its reverse (520461), we get a palindrome (164025520461).

The spelling of 164025000000 in words is "one hundred sixty-four billion, twenty-five million", and thus it is an aban number.