16456866048 has 432 divisors, whose sum is σ = 57900600576. Its totient is φ = 4388290560.

The previous prime is 16456865987. The next prime is 16456866059. The reversal of 16456866048 is 84066865461.

16456866048 is a `hidden beast` number, since 16 + 4 + 568 + 6 + 60 + 4 + 8 = 666.

16456866048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 16456865985 and 16456866003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52915813 + ... + 52916123.

It is an arithmetic number, because the mean of its divisors is an integer number (134029168).

Almost surely, 2^16456866048 is an apocalyptic number.

16456866048 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 16456866048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28950300288).

16456866048 is an abundant number, since it is smaller than the sum of its proper divisors (41443734528).

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

16456866048 is a wasteful number, since it uses less digits than its factorization.

16456866048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 16456866048 in words is "sixteen billion, four hundred fifty-six million, eight hundred sixty-six thousand, forty-eight".