16805553314976 has 288 divisors, whose sum is σ = 50328763784208. Its totient is φ = 5313631518720.

The previous prime is 16805553314903. The next prime is 16805553314989. The reversal of 16805553314976 is 67941335550861.

16805553314976 is a `hidden beast` number, since 1 + 6 + 8 + 0 + 5 + 5 + 533 + 1 + 4 + 97 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5042162466576 + 11763390848400 = 2245476^2 + 3429780^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73337410 + ... + 73566206.

Almost surely, 2^{16805553314976} is an apocalyptic number.

16805553314976 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 16805553314976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25164381892104).

16805553314976 is an abundant number, since it is smaller than the sum of its proper divisors (33523210469232).

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

16805553314976 is a wasteful number, since it uses less digits than its factorization.

16805553314976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229024 (or 229013 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 16805553314976 in words is "sixteen trillion, eight hundred five billion, five hundred fifty-three million, three hundred fourteen thousand, nine hundred seventy-six".