12233244816 has 135 divisors (see below), whose sum is σ = 37124582859. Its totient is φ = 3758766336.

The previous prime is 12233244787. The next prime is 12233244827. The reversal of 12233244816 is 61844233221.

The square root of 12233244816 is 110604.

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

12233244816 is a `hidden beast` number, since 122 + 33 + 24 + 481 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6320250000 + 5912994816 = 79500^2 + 76896^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17253870 + ... + 17254578.

Almost surely, 2^12233244816 is an apocalyptic number.

12233244816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12233244816 is the 110604-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12233244816

12233244816 is an abundant number, since it is smaller than the sum of its proper divisors (24891338043).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12233244816 is an equidigital number, since it uses as much as digits as its factorization.

12233244816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458 (or 727 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

Multiplying 12233244816 by its sum of digits (36), we get a square (440396813376 = 663624²).

12233244816 divided by its sum of digits (36) gives a square (339812356 = 18434²).

It can be divided in two parts, 12233 and 244816, that added together give a square (257049 = 507²).

The spelling of 12233244816 in words is "twelve billion, two hundred thirty-three million, two hundred forty-four thousand, eight hundred sixteen".