159238416384 has 288 divisors, whose sum is σ = 484787721600. Its totient is φ = 50255462400.

The previous prime is 159238416383. The next prime is 159238416409. The reversal of 159238416384 is 483614832951.

It is a happy number.

159238416384 is a `hidden beast` number, since 1 + 592 + 3 + 8 + 4 + 16 + 38 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×159238416384³ (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 159238416384.

It is not an unprimeable number, because it can be changed into a prime (159238416383) 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 23 ways as a sum of consecutive naturals, for example, 42815677 + ... + 42819395.

It is an arithmetic number, because the mean of its divisors is an integer number (1683290700).

Almost surely, 2^159238416384 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 159238416384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242393860800).

159238416384 is an abundant number, since it is smaller than the sum of its proper divisors (325549305216).

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

159238416384 is a wasteful number, since it uses less digits than its factorization.

159238416384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3871 (or 3848 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 159238416384 in words is "one hundred fifty-nine billion, two hundred thirty-eight million, four hundred sixteen thousand, three hundred eighty-four".