16442615664261 has 64 divisors (see below), whose sum is σ = 26501073730560. Its totient is φ = 10033686328320.

The previous prime is 16442615664259. The next prime is 16442615664281. The reversal of 16442615664261 is 16246651624461.

16442615664261 is a `hidden beast` number, since 1 + 6 + 4 + 426 + 156 + 6 + 4 + 2 + 61 = 666.

It is not a de Polignac number, because 16442615664261 - 2¹ = 16442615664259 is a prime.

It is a super-3 number, since 3×16442615664261³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 16442615664198 and 16442615664207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16442615664281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38628451 + ... + 39051791.

It is an arithmetic number, because the mean of its divisors is an integer number (414079277040).

Almost surely, 2^{16442615664261} is an apocalyptic number.

It is an amenable number.

16442615664261 is a deficient number, since it is larger than the sum of its proper divisors (10058458066299).

16442615664261 is a wasteful number, since it uses less digits than its factorization.

16442615664261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425691 (or 425685 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 16442615664261 in words is "sixteen trillion, four hundred forty-two billion, six hundred fifteen million, six hundred sixty-four thousand, two hundred sixty-one".