16648406208 has 252 divisors, whose sum is σ = 56868483672. Its totient is φ = 4640348160.

The previous prime is 16648406183. The next prime is 16648406209. The reversal of 16648406208 is 80260484661.

16648406208 is a `hidden beast` number, since 16 + 6 + 4 + 8 + 4 + 0 + 620 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is not an unprimeable number, because it can be changed into a prime (16648406209) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1149991 + ... + 1164377.

It is an arithmetic number, because the mean of its divisors is an integer number (225668586).

Almost surely, 2^16648406208 is an apocalyptic number.

16648406208 is a gapful number since it is divisible by the number (18) 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 16648406208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28434241836).

16648406208 is an abundant number, since it is smaller than the sum of its proper divisors (40220077464).

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

16648406208 is a wasteful number, since it uses less digits than its factorization.

16648406208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14460 (or 14440 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 16648406208 in words is "sixteen billion, six hundred forty-eight million, four hundred six thousand, two hundred eight".