12166607316461 has 24 divisors (see below), whose sum is σ = 13209041565000. Its totient is φ = 11201291442432.

The previous prime is 12166607316431. The next prime is 12166607316463. The reversal of 12166607316461 is 16461370666121.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 9147110287561 + 3019497028900 = 3024419^2 + 1737670^2 .

It is not a de Polignac number, because 12166607316461 - 2¹⁴ = 12166607300077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12166607316463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133200875 + ... + 133292183.

It is an arithmetic number, because the mean of its divisors is an integer number (550376731875).

Almost surely, 2^{12166607316461} is an apocalyptic number.

It is an amenable number.

12166607316461 is a deficient number, since it is larger than the sum of its proper divisors (1042434248539).

12166607316461 is a wasteful number, since it uses less digits than its factorization.

12166607316461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93393 (or 93380 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 50.

The spelling of 12166607316461 in words is "twelve trillion, one hundred sixty-six billion, six hundred seven million, three hundred sixteen thousand, four hundred sixty-one".