16388849664 has 288 divisors, whose sum is σ = 53099686080. Its totient is φ = 4954521600.

The previous prime is 16388849657. The next prime is 16388849669. The reversal of 16388849664 is 46694888361.

16388849664 is a `hidden beast` number, since 1 + 6 + 3 + 8 + 88 + 496 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (16388849669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38928174 + ... + 38928594.

It is an arithmetic number, because the mean of its divisors is an integer number (184373910).

Almost surely, 2^16388849664 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 16388849664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26549843040).

16388849664 is an abundant number, since it is smaller than the sum of its proper divisors (36710836416).

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

16388849664 is an frugal number, since it uses more digits than its factorization.

16388849664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 437 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 63.

The spelling of 16388849664 in words is "sixteen billion, three hundred eighty-eight million, eight hundred forty-nine thousand, six hundred sixty-four".