16605248256 has 216 divisors, whose sum is σ = 49176481536. Its totient is φ = 5386967040.

The previous prime is 16605248251. The next prime is 16605248267. The reversal of 16605248256 is 65284250661.

16605248256 is a `hidden beast` number, since 16 + 60 + 52 + 482 + 56 = 666.

It is not an unprimeable number, because it can be changed into a prime (16605248251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13576861 + ... + 13578083.

It is an arithmetic number, because the mean of its divisors is an integer number (227668896).

Almost surely, 2^16605248256 is an apocalyptic number.

16605248256 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 16605248256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24588240768).

16605248256 is an abundant number, since it is smaller than the sum of its proper divisors (32571233280).

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

16605248256 is a wasteful number, since it uses less digits than its factorization.

16605248256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 16605248256 in words is "sixteen billion, six hundred five million, two hundred forty-eight thousand, two hundred fifty-six".