9929437586993 has 2 divisors, whose sum is σ = 9929437586994. Its totient is φ = 9929437586992.

The previous prime is 9929437586989. The next prime is 9929437587023. The reversal of 9929437586993 is 3996857349299.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5267539092544 + 4661898494449 = 2295112^2 + 2159143^2 .

It is a cyclic number.

It is not a de Polignac number, because 9929437586993 - 2² = 9929437586989 is a prime.

It is not a weakly prime, because it can be changed into another prime (9929437586953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4964718793496 + 4964718793497.

It is an arithmetic number, because the mean of its divisors is an integer number (4964718793497).

Almost surely, 2^{9929437586993} is an apocalyptic number.

It is an amenable number.

9929437586993 is a deficient number, since it is larger than the sum of its proper divisors (1).

9929437586993 is an equidigital number, since it uses as much as digits as its factorization.

9929437586993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7142567040, while the sum is 83.

The spelling of 9929437586993 in words is "nine trillion, nine hundred twenty-nine billion, four hundred thirty-seven million, five hundred eighty-six thousand, nine hundred ninety-three".