159009649056 has 144 divisors (see below), whose sum is σ = 481266329544. Its totient is φ = 49626611712.

The previous prime is 159009649049. The next prime is 159009649111. The reversal of 159009649056 is 650946900951.

159009649056 is a `hidden beast` number, since 1 + 590 + 0 + 9 + 6 + 49 + 0 + 5 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 102310419600 + 56699229456 = 319860^2 + 238116^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×159009649056² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 159009648993 and 159009649011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 860790 + ... + 1029066.

Almost surely, 2^159009649056 is an apocalyptic number.

159009649056 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 159009649056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240633164772).

159009649056 is an abundant number, since it is smaller than the sum of its proper divisors (322256680488).

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

159009649056 is a wasteful number, since it uses less digits than its factorization.

159009649056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168503 (or 168492 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 159009649056 in words is "one hundred fifty-nine billion, nine million, six hundred forty-nine thousand, fifty-six".