159412791143808 has 768 divisors, whose sum is σ = 489310344806400. Its totient is φ = 49712548773888.

The previous prime is 159412791143797. The next prime is 159412791143813. The reversal of 159412791143808 is 808341197214951.

159412791143808 is a `hidden beast` number, since 1 + 5 + 9 + 412 + 79 + 1 + 143 + 8 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 145848847710 + ... + 145848848802.

It is an arithmetic number, because the mean of its divisors is an integer number (637122844800).

Almost surely, 2^{159412791143808} is an apocalyptic number.

159412791143808 is a gapful number since it is divisible by the number (18) 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 159412791143808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244655172403200).

159412791143808 is an abundant number, since it is smaller than the sum of its proper divisors (329897553662592).

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

159412791143808 is a wasteful number, since it uses less digits than its factorization.

159412791143808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 159412791143808 in words is "one hundred fifty-nine trillion, four hundred twelve billion, seven hundred ninety-one million, one hundred forty-three thousand, eight hundred eight".