16409712384 has 216 divisors, whose sum is σ = 51091578720. Its totient is φ = 5035401216.

The previous prime is 16409712373. The next prime is 16409712433. The reversal of 16409712384 is 48321790461.

16409712384 is a `hidden beast` number, since 1 + 6 + 409 + 7 + 1 + 238 + 4 = 666.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 19558237 + ... + 19559075.

Almost surely, 2^16409712384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16409712384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25545789360).

16409712384 is an abundant number, since it is smaller than the sum of its proper divisors (34681866336).

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

16409712384 is a wasteful number, since it uses less digits than its factorization.

16409712384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 16409712384 in words is "sixteen billion, four hundred nine million, seven hundred twelve thousand, three hundred eighty-four".