12223015876449 has 81 divisors (see below), whose sum is σ = 20656483126227. Its totient is φ = 6944514702048.

The previous prime is 12223015876429. The next prime is 12223015876499. The reversal of 12223015876449 is 94467851032221.

It is a happy number.

The square root of 12223015876449 is 3496143.

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

12223015876449 is a `hidden beast` number, since 1 + 2 + 22 + 30 + 1 + 587 + 6 + 4 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11383923236049 + 839092640400 = 3374007^2 + 916020^2 .

It is not a de Polignac number, because 12223015876449 - 2¹⁷ = 12223015745377 is a prime.

It is a super-3 number, since 3×12223015876449³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12223015876395 and 12223015876404.

It is not an unprimeable number, because it can be changed into a prime (12223015876429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 16812951324 + ... + 16812952050.

It is a 2-persistent number, because it is pandigital, and so is 2⋅12223015876449 = 24446031752898, but 3⋅12223015876449 = 36669047629347 is not.

Almost surely, 2^{12223015876449} is an apocalyptic number.

12223015876449 is the 3496143-rd square number.

12223015876449 is the 1748072-nd centered octagonal number.

It is an amenable number.

12223015876449 is a deficient number, since it is larger than the sum of its proper divisors (8433467249778).

12223015876449 is an frugal number, since it uses more digits than its factorization.

12223015876449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 12223015876449 in words is "twelve trillion, two hundred twenty-three billion, fifteen million, eight hundred seventy-six thousand, four hundred forty-nine".