12405547666801 has 9 divisors (see below), whose sum is σ = 12968454930571. Its totient is φ = 11866098541792.

The previous prime is 12405547666753. The next prime is 12405547666807. The reversal of 12405547666801 is 10866674550421.

The square root of 12405547666801 is 3522151.

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

It can be written as a sum of positive squares in only one way, i.e., 12322732640625 + 82815026176 = 3510375^2 + 287776^2 .

It is not a de Polignac number, because 12405547666801 - 2²⁹ = 12405010795889 is a prime.

It is a super-2 number, since 2×12405547666801² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12405547666807) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 80932905 + ... + 81086041.

Almost surely, 2^{12405547666801} is an apocalyptic number.

12405547666801 is the 3522151-st square number.

12405547666801 is the 1761076-th centered octagonal number.

It is an amenable number.

12405547666801 is a deficient number, since it is larger than the sum of its proper divisors (562907263770).

12405547666801 is an frugal number, since it uses more digits than its factorization.

12405547666801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306320 (or 153160 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 55.

The spelling of 12405547666801 in words is "twelve trillion, four hundred five billion, five hundred forty-seven million, six hundred sixty-six thousand, eight hundred one".