159233790912768 has 3456 divisors, whose sum is σ = 620109646700544. Its totient is φ = 39997852876800.

The previous prime is 159233790912689. The next prime is 159233790912773. The reversal of 159233790912768 is 867219097332951.

159233790912768 is a `hidden beast` number, since 1 + 5 + 92 + 3 + 379 + 0 + 91 + 27 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×159233790912768² (a number of 29 digits) contains 22 as substring.

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 = 159233790912696 and 159233790912705.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 305631076348 + ... + 305631076868.

It is an arithmetic number, because the mean of its divisors is an integer number (179429874624).

Almost surely, 2^{159233790912768} is an apocalyptic number.

159233790912768 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 159233790912768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310054823350272).

159233790912768 is an abundant number, since it is smaller than the sum of its proper divisors (460875855787776).

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

159233790912768 is a wasteful number, since it uses less digits than its factorization.

159233790912768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 308629440, while the sum is 72.

The spelling of 159233790912768 in words is "one hundred fifty-nine trillion, two hundred thirty-three billion, seven hundred ninety million, nine hundred twelve thousand, seven hundred sixty-eight".