17045489664 has 504 divisors, whose sum is σ = 59698687230. Its totient is φ = 4849238016.

The previous prime is 17045489641. The next prime is 17045489683. The reversal of 17045489664 is 46698454071.

17045489664 is a `hidden beast` number, since 1 + 7 + 0 + 4 + 548 + 96 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16131032064 + 914457600 = 127008^2 + 30240^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 17045489664.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 73156492 + ... + 73156724.

Almost surely, 2^17045489664 is an apocalyptic number.

17045489664 is a gapful number since it is divisible by the number (14) 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 17045489664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29849343615).

17045489664 is an abundant number, since it is smaller than the sum of its proper divisors (42653197566).

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

17045489664 is an frugal number, since it uses more digits than its factorization.

17045489664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 17045489664 in words is "seventeen billion, forty-five million, four hundred eighty-nine thousand, six hundred sixty-four".