159591461121 has 81 divisors (see below), whose sum is σ = 245018974473. Its totient is φ = 100095963840.

The previous prime is 159591461089. The next prime is 159591461129. The reversal of 159591461121 is 121164195951.

The square root of 159591461121 is 399489.

It is a perfect power (a square), and thus also a powerful number.

159591461121 is a `hidden beast` number, since 1 + 5 + 9 + 5 + 9 + 1 + 4 + 611 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3515897025 + 156075564096 = 59295^2 + 395064^2 .

It is not a de Polignac number, because 159591461121 - 2⁵ = 159591461089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (159591461129) 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 80 ways as a sum of consecutive naturals, for example, 2616253431 + ... + 2616253491.

Almost surely, 2^159591461121 is an apocalyptic number.

159591461121 is the 399489-th square number.

159591461121 is the 199745-th centered octagonal number.

It is an amenable number.

159591461121 is a deficient number, since it is larger than the sum of its proper divisors (85427513352).

159591461121 is an frugal number, since it uses more digits than its factorization.

159591461121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 160 counting only the distinct ones).

The product of its digits is 97200, while the sum is 45.

The spelling of 159591461121 in words is "one hundred fifty-nine billion, five hundred ninety-one million, four hundred sixty-one thousand, one hundred twenty-one".