12496609419264 has 168 divisors, whose sum is σ = 36105533328540. Its totient is φ = 4164795629568.

The previous prime is 12496609419251. The next prime is 12496609419353. The reversal of 12496609419264 is 46291490669421.

It is a happy number.

12496609419264 is a `hidden beast` number, since 1 + 2 + 4 + 9 + 6 + 609 + 4 + 19 + 2 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8574308388864 + 3922301030400 = 2928192^2 + 1980480^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 551252922 + ... + 551275590.

Almost surely, 2^{12496609419264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12496609419264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18052766664270).

12496609419264 is an abundant number, since it is smaller than the sum of its proper divisors (23608923909276).

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

12496609419264 is an equidigital number, since it uses as much as digits as its factorization.

12496609419264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30178 (or 30151 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 12496609419264 in words is "twelve trillion, four hundred ninety-six billion, six hundred nine million, four hundred nineteen thousand, two hundred sixty-four".