186223017948661 has 16 divisors (see below), whose sum is σ = 191474179182000. Its totient is φ = 180983396487168.

The previous prime is 186223017948553. The next prime is 186223017948679. The reversal of 186223017948661 is 166849710322681.

186223017948661 = 9649430² + 9649431².

It can be written as a sum of positive squares in 8 ways, for example, as 35979530910436 + 150243487038225 = 5998294^2 + 12257385^2 .

It is a cyclic number.

It is not a de Polignac number, because 186223017948661 - 2⁴¹ = 184023994693109 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 186223017948593 and 186223017948602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (186223017945661) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 223138125 + ... + 223971133.

It is an arithmetic number, because the mean of its divisors is an integer number (11967136198875).

Almost surely, 2^{186223017948661} is an apocalyptic number.

186223017948661 is the 9649431-st centered square number.

It is an amenable number.

186223017948661 is a deficient number, since it is larger than the sum of its proper divisors (5251161233339).

186223017948661 is a wasteful number, since it uses less digits than its factorization.

186223017948661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839928.

The product of its (nonzero) digits is 41803776, while the sum is 64.

The spelling of 186223017948661 in words is "one hundred eighty-six trillion, two hundred twenty-three billion, seventeen million, nine hundred forty-eight thousand, six hundred sixty-one".