16112277516205 has 64 divisors (see below), whose sum is σ = 22091570424000. Its totient is φ = 11175702036480.

The previous prime is 16112277516161. The next prime is 16112277516229. The reversal of 16112277516205 is 50261577221161.

It is a happy number.

It can be written as a sum of positive squares in 32 ways, for example, as 13643818612516 + 2468458903689 = 3693754^2 + 1571133^2 .

It is not a de Polignac number, because 16112277516205 - 2⁷ = 16112277516077 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1316248885 + ... + 1316261125.

It is an arithmetic number, because the mean of its divisors is an integer number (345180787875).

Almost surely, 2^{16112277516205} is an apocalyptic number.

It is an amenable number.

16112277516205 is a deficient number, since it is larger than the sum of its proper divisors (5979292907795).

16112277516205 is a wasteful number, since it uses less digits than its factorization.

16112277516205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14594.

The product of its (nonzero) digits is 352800, while the sum is 46.

The spelling of 16112277516205 in words is "sixteen trillion, one hundred twelve billion, two hundred seventy-seven million, five hundred sixteen thousand, two hundred five".