12414446496 has 72 divisors (see below), whose sum is σ = 36442433664. Its totient is φ = 4004657280.

The previous prime is 12414446491. The next prime is 12414446533. The reversal of 12414446496 is 69464441421.

It is a happy number.

12414446496 is a `hidden beast` number, since 12 + 4 + 144 + 4 + 6 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (12414446491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 686326 + ... + 704181.

It is an arithmetic number, because the mean of its divisors is an integer number (506144912).

Almost surely, 2^12414446496 is an apocalyptic number.

12414446496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12414446496 is an abundant number, since it is smaller than the sum of its proper divisors (24027987168).

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

12414446496 is a wasteful number, since it uses less digits than its factorization.

12414446496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390554 (or 1390543 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The spelling of 12414446496 in words is "twelve billion, four hundred fourteen million, four hundred forty-six thousand, four hundred ninety-six".