1224333398016 has 585 divisors, whose sum is σ = 3919924284991. Its totient is φ = 380705439744.

The previous prime is 1224333397919. The next prime is 1224333398017. The reversal of 1224333398016 is 6108933334221.

The square root of 1224333398016 is 1106496.

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

1224333398016 is a `hidden beast` number, since 1 + 2 + 243 + 3 + 3 + 398 + 0 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 149379158016 + 1074954240000 = 386496^2 + 1036800^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1224333398017) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10834808776 + ... + 10834808888.

Almost surely, 2^{1224333398016} is an apocalyptic number.

1224333398016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1224333398016 is the 1106496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1224333398016

1224333398016 is an abundant number, since it is smaller than the sum of its proper divisors (2695590886975).

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

1224333398016 is an frugal number, since it uses more digits than its factorization.

1224333398016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 1224333398016 in words is "one trillion, two hundred twenty-four billion, three hundred thirty-three million, three hundred ninety-eight thousand, sixteen".