9945729566 has 8 divisors (see below), whose sum is σ = 15399839424. Its totient is φ = 4812449760.

The previous prime is 9945729557. The next prime is 9945729571. The reversal of 9945729566 is 6659275499.

9945729566 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-3 number, since 3×9945729566³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (62), and also a Moran number because the ratio is a prime number: 160414993 = 9945729566 / (9 + 9 + 4 + 5 + 7 + 2 + 9 + 5 + 6 + 6).

It is a junction number, because it is equal to n+sod(n) for n = 9945729499 and 9945729508.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 80207435 + ... + 80207558.

It is an arithmetic number, because the mean of its divisors is an integer number (1924979928).

Almost surely, 2^9945729566 is an apocalyptic number.

9945729566 is a deficient number, since it is larger than the sum of its proper divisors (5454109858).

9945729566 is a wasteful number, since it uses less digits than its factorization.

9945729566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160415026.

The product of its digits is 36741600, while the sum is 62.

The square root of 9945729566 is about 99728.2786675876. The cubic root of 9945729566 is about 2150.5302147163.

The spelling of 9945729566 in words is "nine billion, nine hundred forty-five million, seven hundred twenty-nine thousand, five hundred sixty-six".