12641928691401 has 21 divisors (see below), whose sum is σ = 18954366239101. Its totient is φ = 8427888461052.

The previous prime is 12641928691387. The next prime is 12641928691523. The reversal of 12641928691401 is 10419682914621.

The square root of 12641928691401 is 3555549.

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

12641928691401 is a `hidden beast` number, since 1 + 2 + 6 + 419 + 2 + 86 + 9 + 140 + 1 = 666.

It is not a de Polignac number, because 12641928691401 - 2⁴¹ = 10442905435849 is a prime.

It is a super-2 number, since 2×12641928691401² (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 (12641928691901) 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 20 ways as a sum of consecutive naturals, for example, 95933980 + ... + 96065666.

Almost surely, 2^{12641928691401} is an apocalyptic number.

12641928691401 is the 3555549-th square number.

12641928691401 is the 1777775-th centered octagonal number.

It is an amenable number.

12641928691401 is a deficient number, since it is larger than the sum of its proper divisors (6312437547700).

12641928691401 is an frugal number, since it uses more digits than its factorization.

12641928691401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263392 (or 131690 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 12641928691401 in words is "twelve trillion, six hundred forty-one billion, nine hundred twenty-eight million, six hundred ninety-one thousand, four hundred one".