1713161664 has 196 divisors, whose sum is σ = 5177095056. Its totient is φ = 562111488.

The previous prime is 1713161641. The next prime is 1713161669. The reversal of 1713161664 is 4661613171.

1713161664 is a `hidden beast` number, since 1 + 7 + 1 + 31 + 616 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1713161669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3405637 + ... + 3406139.

Almost surely, 2^1713161664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1713161664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2588547528).

1713161664 is an abundant number, since it is smaller than the sum of its proper divisors (3463933392).

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

1713161664 is an frugal number, since it uses more digits than its factorization.

1713161664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 581 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 1713161664 is about 41390.3571378649. The cubic root of 1713161664 is about 1196.5553212853. Note that the first 3 decimals are identical.

The spelling of 1713161664 in words is "one billion, seven hundred thirteen million, one hundred sixty-one thousand, six hundred sixty-four".