16384512004 has 81 divisors (see below), whose sum is σ = 34341538581. Its totient is φ = 6819946560.

The previous prime is 16384511989. The next prime is 16384512029. The reversal of 16384512004 is 40021548361.

The square root of 16384512004 is 128002.

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

It can be written as a sum of positive squares in only one way, i.e., 789497604 + 15595014400 = 28098^2 + 124880^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 73473037 + ... + 73473259.

Almost surely, 2^16384512004 is an apocalyptic number.

16384512004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

16384512004 is the 128002-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16384512004

16384512004 is an abundant number, since it is smaller than the sum of its proper divisors (17957026577).

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

16384512004 is an equidigital number, since it uses as much as digits as its factorization.

16384512004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 16384512004 in words is "sixteen billion, three hundred eighty-four million, five hundred twelve thousand, four".