159984705456 has 120 divisors (see below), whose sum is σ = 451320506000. Its totient is φ = 52901807616.

The previous prime is 159984705451. The next prime is 159984705473. The reversal of 159984705456 is 654507489951.

159984705456 is a `hidden beast` number, since 1 + 5 + 9 + 9 + 84 + 7 + 0 + 545 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 159984705393 and 159984705402.

It is not an unprimeable number, because it can be changed into a prime (159984705451) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 33404310 + ... + 33409098.

Almost surely, 2^159984705456 is an apocalyptic number.

159984705456 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 159984705456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225660253000).

159984705456 is an abundant number, since it is smaller than the sum of its proper divisors (291335800544).

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

159984705456 is a wasteful number, since it uses less digits than its factorization.

159984705456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6611 (or 6602 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 159984705456 in words is "one hundred fifty-nine billion, nine hundred eighty-four million, seven hundred five thousand, four hundred fifty-six".