12267919548481 has 27 divisors (see below), whose sum is σ = 12676053698217. Its totient is φ = 11872834395840.

The previous prime is 12267919548407. The next prime is 12267919548497. The reversal of 12267919548481 is 18484591976221.

The square root of 12267919548481 is 3502559.

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 105374898225 + 12162544650256 = 324615^2 + 3487484^2 .

It is not a de Polignac number, because 12267919548481 - 2³⁵ = 12233559810113 is a prime.

It is a super-2 number, since 2×12267919548481² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (67).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12267919542481) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14314958205 + ... + 14314959061.

Almost surely, 2^{12267919548481} is an apocalyptic number.

12267919548481 is the 3502559-th square number.

12267919548481 is the 1751280-th centered octagonal number.

It is an amenable number.

12267919548481 is a deficient number, since it is larger than the sum of its proper divisors (408134149736).

12267919548481 is an frugal number, since it uses more digits than its factorization.

12267919548481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1970 (or 985 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 67.

It can be divided in two parts, 12267919 and 548481, that added together give a square (12816400 = 3580²).

The spelling of 12267919548481 in words is "twelve trillion, two hundred sixty-seven billion, nine hundred nineteen million, five hundred forty-eight thousand, four hundred eighty-one".