6617161334601 has 6 divisors (see below), whose sum is σ = 9558121927770. Its totient is φ = 4411440889728.

The previous prime is 6617161334573. The next prime is 6617161334617. The reversal of 6617161334601 is 1064331617166.

6617161334601 is a `hidden beast` number, since 6 + 6 + 1 + 7 + 1 + 6 + 1 + 3 + 34 + 601 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5987123859600 + 630037475001 = 2446860^2 + 793749^2 .

It is not a de Polignac number, because 6617161334601 - 2⁹ = 6617161334089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6617161334671) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 367620074136 + ... + 367620074153.

It is an arithmetic number, because the mean of its divisors is an integer number (1593020321295).

Almost surely, 2^{6617161334601} is an apocalyptic number.

It is an amenable number.

6617161334601 is a deficient number, since it is larger than the sum of its proper divisors (2940960593169).

6617161334601 is a wasteful number, since it uses less digits than its factorization.

6617161334601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735240148295 (or 735240148292 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 6617161334601 in words is "six trillion, six hundred seventeen billion, one hundred sixty-one million, three hundred thirty-four thousand, six hundred one".