159133648931712 has 2304 divisors, whose sum is σ = 623434604083200. Its totient is φ = 37989495078912.

The previous prime is 159133648931669. The next prime is 159133648931713. The reversal of 159133648931712 is 217139846331951.

159133648931712 is a `hidden beast` number, since 1 + 5 + 9 + 1 + 336 + 48 + 93 + 171 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 159133648931712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159133648931713) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 64244507818 + ... + 64244510294.

It is an arithmetic number, because the mean of its divisors is an integer number (270587935800).

Almost surely, 2^{159133648931712} is an apocalyptic number.

159133648931712 is a gapful number since it is divisible by the number (12) 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 159133648931712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311717302041600).

159133648931712 is an abundant number, since it is smaller than the sum of its proper divisors (464300955151488).

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

159133648931712 is a wasteful number, since it uses less digits than its factorization.

159133648931712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2653 (or 2625 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 63.

The spelling of 159133648931712 in words is "one hundred fifty-nine trillion, one hundred thirty-three billion, six hundred forty-eight million, nine hundred thirty-one thousand, seven hundred twelve".