159905558848 has 252 divisors, whose sum is σ = 399627112860. Its totient is φ = 63263735808.

The previous prime is 159905558837. The next prime is 159905558849. The reversal of 159905558848 is 848855509951.

It can be written as a sum of positive squares in 6 ways, for example, as 19256557824 + 140649001024 = 138768^2 + 375032^2 .

It is a Smith number, since the sum of its digits (67) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159905558849) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48032448 + ... + 48035776.

Almost surely, 2^159905558848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159905558848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199813556430).

159905558848 is an abundant number, since it is smaller than the sum of its proper divisors (239721554012).

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

159905558848 is a wasteful number, since it uses less digits than its factorization.

159905558848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3442 (or 3408 counting only the distinct ones).

The product of its (nonzero) digits is 103680000, while the sum is 67.

The spelling of 159905558848 in words is "one hundred fifty-nine billion, nine hundred five million, five hundred fifty-eight thousand, eight hundred forty-eight".