16384000000 has 147 divisors (see below), whose sum is σ = 40959456181. Its totient is φ = 6553600000.

The previous prime is 16383999977. The next prime is 16384000001. The reversal of 16384000000 is 48361.

The square root of 16384000000 is 128000.

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 14353956864 + 2030043136 = 119808^2 + 45056^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=5, B=80.

It is a super-3 number, since 3×16384000000³ (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16384000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 3276799998 + ... + 3276800002.

Almost surely, 2^16384000000 is an apocalyptic number.

16384000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16384000000 is the 128000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16384000000

16384000000 is an abundant number, since it is smaller than the sum of its proper divisors (24575456181).

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

16384000000 is an frugal number, since it uses more digits than its factorization.

16384000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Multiplying 16384000000 by its product of nonzero digits (576), we get a square (9437184000000 = 3072000²).

Adding to 16384000000 its reverse (48361), we get a palindrome (16384048361).

The spelling of 16384000000 in words is "sixteen billion, three hundred eighty-four million", and thus it is an aban number.