6335117600801 has 16 divisors (see below), whose sum is σ = 7215013509120. Its totient is φ = 5506127175120.

The previous prime is 6335117600767. The next prime is 6335117600803. The reversal of 6335117600801 is 1080067115336.

It is not a de Polignac number, because 6335117600801 - 2⁶ = 6335117600737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6335117600803) 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 in 15 ways as a sum of consecutive naturals, for example, 5546891 + ... + 6590768.

It is an arithmetic number, because the mean of its divisors is an integer number (450938344320).

Almost surely, 2^{6335117600801} is an apocalyptic number.

It is an amenable number.

6335117600801 is a deficient number, since it is larger than the sum of its proper divisors (879895908319).

6335117600801 is a wasteful number, since it uses less digits than its factorization.

6335117600801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12139756.

The product of its (nonzero) digits is 90720, while the sum is 41.

The spelling of 6335117600801 in words is "six trillion, three hundred thirty-five billion, one hundred seventeen million, six hundred thousand, eight hundred one".