16417664064000 has 320 divisors, whose sum is σ = 60649593713280. Its totient is φ = 4378043289600.

The previous prime is 16417664063993. The next prime is 16417664064001. The reversal of 16417664064000 is 46046671461.

16417664064000 is a `hidden beast` number, since 16 + 4 + 176 + 64 + 0 + 6 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (16417664064001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3022482 + ... + 6478481.

It is an arithmetic number, because the mean of its divisors is an integer number (189529980354).

Almost surely, 2^{16417664064000} is an apocalyptic number.

16417664064000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16417664064000 is an abundant number, since it is smaller than the sum of its proper divisors (44231929649280).

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

16417664064000 is an frugal number, since it uses more digits than its factorization.

16417664064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9501005 (or 9500973 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 16417664064000 in words is "sixteen trillion, four hundred seventeen billion, six hundred sixty-four million, sixty-four thousand".