9985018700801 has 2 divisors, whose sum is σ = 9985018700802. Its totient is φ = 9985018700800.

The previous prime is 9985018700777. The next prime is 9985018700887. The reversal of 9985018700801 is 1080078105899.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8329434677776 + 1655584023025 = 2886076^2 + 1286695^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-9985018700801 is a prime.

It is not a weakly prime, because it can be changed into another prime (9985018720801) by changing a digit.

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 as a sum of consecutive naturals, namely, 4992509350400 + 4992509350401.

It is an arithmetic number, because the mean of its divisors is an integer number (4992509350401).

Almost surely, 2^{9985018700801} is an apocalyptic number.

It is an amenable number.

9985018700801 is a deficient number, since it is larger than the sum of its proper divisors (1).

9985018700801 is an equidigital number, since it uses as much as digits as its factorization.

9985018700801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1451520, while the sum is 56.

The spelling of 9985018700801 in words is "nine trillion, nine hundred eighty-five billion, eighteen million, seven hundred thousand, eight hundred one".