17130161664 has 960 divisors, whose sum is σ = 68293843200. Its totient is φ = 4215214080.

The previous prime is 17130161627. The next prime is 17130161687. The reversal of 17130161664 is 46616103171.

17130161664 is a `hidden beast` number, since 1 + 7 + 1 + 30 + 1 + 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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 901587447 + ... + 901587465.

It is an arithmetic number, because the mean of its divisors is an integer number (71139420).

Almost surely, 2^17130161664 is an apocalyptic number.

17130161664 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 17130161664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34146921600).

17130161664 is an abundant number, since it is smaller than the sum of its proper divisors (51163681536).

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

17130161664 is an equidigital number, since it uses as much as digits as its factorization.

17130161664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 42 counting only the distinct ones).

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

The spelling of 17130161664 in words is "seventeen billion, one hundred thirty million, one hundred sixty-one thousand, six hundred sixty-four".