159964178342976 has 420 divisors, whose sum is σ = 554489857760256. Its totient is φ = 45464748940800.

The previous prime is 159964178342879. The next prime is 159964178342989. The reversal of 159964178342976 is 679243871469951.

159964178342976 is a `hidden beast` number, since 1 + 5 + 9 + 9 + 6 + 41 + 7 + 83 + 429 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 159964178342895 and 159964178342904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 46868521 + ... + 50165591.

Almost surely, 2^{159964178342976} is an apocalyptic number.

159964178342976 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 159964178342976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277244928880128).

159964178342976 is an abundant number, since it is smaller than the sum of its proper divisors (394525679417280).

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

159964178342976 is a wasteful number, since it uses less digits than its factorization.

159964178342976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3297300 (or 3297274 counting only the distinct ones).

The product of its digits is 4938071040, while the sum is 81.

The spelling of 159964178342976 in words is "one hundred fifty-nine trillion, nine hundred sixty-four billion, one hundred seventy-eight million, three hundred forty-two thousand, nine hundred seventy-six".