16566345507355 has 32 divisors (see below), whose sum is σ = 23147607168000. Its totient is φ = 11147593091712.

The previous prime is 16566345507337. The next prime is 16566345507389. The reversal of 16566345507355 is 55370554366561.

It is not a de Polignac number, because 16566345507355 - 2¹⁷ = 16566345376283 is a prime.

It is a super-3 number, since 3×16566345507355³ (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 = 16566345507293 and 16566345507302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18703735 + ... + 19569424.

It is an arithmetic number, because the mean of its divisors is an integer number (723362724000).

Almost surely, 2^{16566345507355} is an apocalyptic number.

16566345507355 is a deficient number, since it is larger than the sum of its proper divisors (6581261660645).

16566345507355 is a wasteful number, since it uses less digits than its factorization.

16566345507355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38273403.

The product of its (nonzero) digits is 170100000, while the sum is 61.

The spelling of 16566345507355 in words is "sixteen trillion, five hundred sixty-six billion, three hundred forty-five million, five hundred seven thousand, three hundred fifty-five".