9840135336201 has 9 divisors (see below), whose sum is σ = 14213542412199. Its totient is φ = 6560083950336.

The previous prime is 9840135336191. The next prime is 9840135336217. The reversal of 9840135336201 is 1026335310489.

The square root of 9840135336201 is 3136899.

It is a perfect power (a square), and thus also a powerful number.

9840135336201 is a `hidden beast` number, since 9 + 8 + 4 + 0 + 13 + 5 + 3 + 3 + 620 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 593816654025 + 9246318682176 = 770595^2 + 3040776^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 9840135336201 - 2⁴¹ = 7641112080649 is a prime.

It is a super-2 number, since 2×9840135336201² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9840135336601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8887881 + ... + 9933513.

Almost surely, 2^{9840135336201} is an apocalyptic number.

9840135336201 is the 3136899-th square number.

9840135336201 is the 1568450-th centered octagonal number.

It is an amenable number.

9840135336201 is a deficient number, since it is larger than the sum of its proper divisors (4373407075998).

9840135336201 is an frugal number, since it uses more digits than its factorization.

9840135336201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2091272 (or 1045636 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 9840135336201 in words is "nine trillion, eight hundred forty billion, one hundred thirty-five million, three hundred thirty-six thousand, two hundred one".