9838765983401 has 2 divisors, whose sum is σ = 9838765983402. Its totient is φ = 9838765983400.

The previous prime is 9838765983329. The next prime is 9838765983413. The reversal of 9838765983401 is 1043895678389.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6505764409600 + 3333001573801 = 2550640^2 + 1825651^2 .

It is a cyclic number.

It is not a de Polignac number, because 9838765983401 - 2²² = 9838761789097 is a prime.

It is a super-2 number, since 2×9838765983401² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (9838765983481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4919382991700 + 4919382991701.

It is an arithmetic number, because the mean of its divisors is an integer number (4919382991701).

Almost surely, 2^{9838765983401} is an apocalyptic number.

It is an amenable number.

9838765983401 is a deficient number, since it is larger than the sum of its proper divisors (1).

9838765983401 is an equidigital number, since it uses as much as digits as its factorization.

9838765983401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 313528320, while the sum is 71.

The spelling of 9838765983401 in words is "nine trillion, eight hundred thirty-eight billion, seven hundred sixty-five million, nine hundred eighty-three thousand, four hundred one".