20164000000 has 189 divisors, whose sum is σ = 51029483533. Its totient is φ = 7952000000.

The previous prime is 20163999959. The next prime is 20164000037. The reversal of 20164000000 is 46102.

The square root of 20164000000 is 142000.

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

It can be written as a sum of positive squares in 3 ways, for example, as 17665599744 + 2498400256 = 132912^2 + 49984^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 283999965 + ... + 284000035.

Almost surely, 2^20164000000 is an apocalyptic number.

20164000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20164000000 is the 142000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20164000000

20164000000 is an abundant number, since it is smaller than the sum of its proper divisors (30865483533).

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

20164000000 is an frugal number, since it uses more digits than its factorization.

20164000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 20164000000 its reverse (46102), we get a palindrome (20164046102).

The spelling of 20164000000 in words is "twenty billion, one hundred sixty-four million", and thus it is an aban number.