16442206465257 has 36 divisors (see below), whose sum is σ = 24721914660300. Its totient is φ = 10529764968576.

The previous prime is 16442206465249. The next prime is 16442206465261. The reversal of 16442206465257 is 75256460224461.

16442206465257 is a `hidden beast` number, since 1 + 64 + 422 + 0 + 64 + 6 + 52 + 57 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 935748610281 + 15506457854976 = 967341^2 + 3937824^2 .

It is not a de Polignac number, because 16442206465257 - 2³ = 16442206465249 is a prime.

It is a super-3 number, since 3×16442206465257³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (16442206465247) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4022382 + ... + 7004567.

It is an arithmetic number, because the mean of its divisors is an integer number (686719851675).

Almost surely, 2^{16442206465257} is an apocalyptic number.

It is an amenable number.

16442206465257 is a deficient number, since it is larger than the sum of its proper divisors (8279708195043).

16442206465257 is a wasteful number, since it uses less digits than its factorization.

16442206465257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11027210 (or 11027178 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 16442206465257 in words is "sixteen trillion, four hundred forty-two billion, two hundred six million, four hundred sixty-five thousand, two hundred fifty-seven".