159116922665568 has 288 divisors, whose sum is σ = 563333207915520. Its totient is φ = 43485369903360.

The previous prime is 159116922665513. The next prime is 159116922665573. The reversal of 159116922665568 is 865566229611951.

159116922665568 is a `hidden beast` number, since 1 + 5 + 9 + 1 + 1 + 6 + 9 + 2 + 2 + 66 + 556 + 8 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 159116922665496 and 159116922665505.

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 47 ways as a sum of consecutive naturals, for example, 80731288 + ... + 82678743.

It is an arithmetic number, because the mean of its divisors is an integer number (1956018083040).

Almost surely, 2^{159116922665568} is an apocalyptic number.

159116922665568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

159116922665568 is an abundant number, since it is smaller than the sum of its proper divisors (404216285249952).

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

159116922665568 is a wasteful number, since it uses less digits than its factorization.

159116922665568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163410087 (or 163410066 counting only the distinct ones).

The product of its digits is 419904000, while the sum is 72.

The spelling of 159116922665568 in words is "one hundred fifty-nine trillion, one hundred sixteen billion, nine hundred twenty-two million, six hundred sixty-five thousand, five hundred sixty-eight".