16489414656 has 768 divisors, whose sum is σ = 61831486080. Its totient is φ = 4152360960.

The previous prime is 16489414649. The next prime is 16489414657. The reversal of 16489414656 is 65641498461.

16489414656 = 361³ + 362³ + ... + 536³.

16489414656 is a `hidden beast` number, since 1 + 64 + 89 + 41 + 465 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is not an unprimeable number, because it can be changed into a prime (16489414657) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 716931061 + ... + 716931083.

Almost surely, 2^16489414656 is an apocalyptic number.

16489414656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16489414656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30915743040).

16489414656 is an abundant number, since it is smaller than the sum of its proper divisors (45342071424).

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

16489414656 is a wasteful number, since it uses less digits than its factorization.

16489414656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 69 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 16489414656 in words is "sixteen billion, four hundred eighty-nine million, four hundred fourteen thousand, six hundred fifty-six".