16617111644601 has 24 divisors (see below), whose sum is σ = 25863193157256. Its totient is φ = 10220236819200.

The previous prime is 16617111644591. The next prime is 16617111644677. The reversal of 16617111644601 is 10644611171661.

16617111644601 is a `hidden beast` number, since 1 + 6 + 6 + 1 + 71 + 116 + 4 + 460 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1154120490000 + 15462991154601 = 1074300^2 + 3932301^2 .

It is not a de Polignac number, because 16617111644601 - 2¹¹ = 16617111642553 is a prime.

It is a super-2 number, since 2×16617111644601² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16617111644501) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39219210 + ... + 39640643.

It is an arithmetic number, because the mean of its divisors is an integer number (1077633048219).

Almost surely, 2^{16617111644601} is an apocalyptic number.

It is an amenable number.

16617111644601 is a deficient number, since it is larger than the sum of its proper divisors (9246081512655).

16617111644601 is a wasteful number, since it uses less digits than its factorization.

16617111644601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78861673 (or 78861670 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 16617111644601 in words is "sixteen trillion, six hundred seventeen billion, one hundred eleven million, six hundred forty-four thousand, six hundred one".