16106328066361 has 9 divisors (see below), whose sum is σ = 17440636590189. Its totient is φ = 14867331594336.

The previous prime is 16106328066341. The next prime is 16106328066407. The reversal of 16106328066361 is 16366082360161.

The square root of 16106328066361 is 4013269.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 898667976361 + 15207660090000 = 947981^2 + 3899700^2 .

It is not a de Polignac number, because 16106328066361 - 2¹³ = 16106328058169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16106328066341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 52018141 + ... + 52326853.

It is an arithmetic number, because the mean of its divisors is an integer number (1937848510021).

Almost surely, 2^{16106328066361} is an apocalyptic number.

16106328066361 is the 4013269-th square number.

16106328066361 is the 2006635-th centered octagonal number.

It is an amenable number.

16106328066361 is a deficient number, since it is larger than the sum of its proper divisors (1334308523828).

16106328066361 is an frugal number, since it uses more digits than its factorization.

16106328066361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617452 (or 308726 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 49.

Multiplying 16106328066361 by its sum of digits (49), we get a square (789210075251689 = 28092883²).

The spelling of 16106328066361 in words is "sixteen trillion, one hundred six billion, three hundred twenty-eight million, sixty-six thousand, three hundred sixty-one".