159303958641 has 27 divisors (see below), whose sum is σ = 231502967787. Its totient is φ = 105561637920.

The previous prime is 159303958507. The next prime is 159303958673. The reversal of 159303958641 is 146859303951.

The square root of 159303958641 is 399129.

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

159303958641 is a `hidden beast` number, since 1 + 59 + 3 + 0 + 3 + 9 + 586 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32351418225 + 126952540416 = 179865^2 + 356304^2 .

It is a de Polignac number, because none of the positive numbers 2^k-159303958641 is a prime.

It is not an unprimeable number, because it can be changed into a prime (159303958141) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 278990886 + ... + 278991456.

Almost surely, 2^159303958641 is an apocalyptic number.

159303958641 is the 399129-th square number.

159303958641 is the 199565-th centered octagonal number.

It is an amenable number.

159303958641 is a deficient number, since it is larger than the sum of its proper divisors (72199009146).

159303958641 is an frugal number, since it uses more digits than its factorization.

159303958641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 159303958641 in words is "one hundred fifty-nine billion, three hundred three million, nine hundred fifty-eight thousand, six hundred forty-one".