159819228807168 has 1536 divisors, whose sum is σ = 557276086080000. Its totient is φ = 40367063826432.

The previous prime is 159819228807143. The next prime is 159819228807193. The reversal of 159819228807168 is 861708822918951.

It is an interprime number because it is at equal distance from previous prime (159819228807143) and next prime (159819228807193).

It is a tau number, because it is divible by the number of its divisors (1536).

It is a self number, because there is not a number n which added to its sum of digits gives 159819228807168.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 216264179343 + ... + 216264180081.

It is an arithmetic number, because the mean of its divisors is an integer number (362809951875).

Almost surely, 2^{159819228807168} 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 159819228807168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278638043040000).

159819228807168 is an abundant number, since it is smaller than the sum of its proper divisors (397456857272832).

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

159819228807168 is a wasteful number, since it uses less digits than its factorization.

159819228807168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 75.

The spelling of 159819228807168 in words is "one hundred fifty-nine trillion, eight hundred nineteen billion, two hundred twenty-eight million, eight hundred seven thousand, one hundred sixty-eight".