9981066993 has 32 divisors (see below), whose sum is σ = 14017536000. Its totient is φ = 6308822400.

The previous prime is 9981066971. The next prime is 9981067001. The reversal of 9981066993 is 3996601899.

It is not a de Polignac number, because 9981066993 - 2⁵ = 9981066961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9989066993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1703533 + ... + 1709381.

It is an arithmetic number, because the mean of its divisors is an integer number (438048000).

Almost surely, 2^9981066993 is an apocalyptic number.

9981066993 is a gapful number since it is divisible by the number (93) formed by its first and last digit.

It is an amenable number.

9981066993 is a deficient number, since it is larger than the sum of its proper divisors (4036469007).

9981066993 is a wasteful number, since it uses less digits than its factorization.

9981066993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6253.

The product of its (nonzero) digits is 5668704, while the sum is 60.

The square root of 9981066993 is about 99905.2901151886. The cubic root of 9981066993 is about 2153.0741668082.

It can be divided in two parts, 998 and 1066993, that added together give a triangular number (1067991 = T₁₄₆₁).

The spelling of 9981066993 in words is "nine billion, nine hundred eighty-one million, sixty-six thousand, nine hundred ninety-three".