161704430528256 has 2592 divisors, whose sum is σ = 643274662238208. Its totient is φ = 39985520762880.

The previous prime is 161704430528209. The next prime is 161704430528257. The reversal of 161704430528256 is 652825034407161.

161704430528256 is a `hidden beast` number, since 1 + 6 + 1 + 7 + 0 + 4 + 4 + 305 + 282 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×161704430528256² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161704430528257) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 236756120491 + ... + 236756121173.

It is an arithmetic number, because the mean of its divisors is an integer number (248176953024).

Almost surely, 2^{161704430528256} is an apocalyptic number.

161704430528256 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 161704430528256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321637331119104).

161704430528256 is an abundant number, since it is smaller than the sum of its proper divisors (481570231709952).

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

161704430528256 is a wasteful number, since it uses less digits than its factorization.

161704430528256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 161704430528256 in words is "one hundred sixty-one trillion, seven hundred four billion, four hundred thirty million, five hundred twenty-eight thousand, two hundred fifty-six".