160801596657 has 40 divisors (see below), whose sum is σ = 261594222120. Its totient is φ = 97842919680.

The previous prime is 160801596629. The next prime is 160801596679. The reversal of 160801596657 is 756695108061.

It can be written as a sum of positive squares in 4 ways, for example, as 285981921 + 160515614736 = 16911^2 + 400644^2 .

It is not a de Polignac number, because 160801596657 - 2¹¹ = 160801594609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (160801596757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 764194 + ... + 951627.

It is an arithmetic number, because the mean of its divisors is an integer number (6539855553).

Almost surely, 2^160801596657 is an apocalyptic number.

It is an amenable number.

160801596657 is a deficient number, since it is larger than the sum of its proper divisors (100792625463).

160801596657 is a wasteful number, since it uses less digits than its factorization.

160801596657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715935 (or 1715926 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 160801596657 in words is "one hundred sixty billion, eight hundred one million, five hundred ninety-six thousand, six hundred fifty-seven".