12650407456896 has 288 divisors, whose sum is σ = 41912354549520. Its totient is φ = 3631694607360.

The previous prime is 12650407456873. The next prime is 12650407456901. The reversal of 12650407456896 is 69865470405621.

12650407456896 is a `hidden beast` number, since 1 + 2 + 6 + 50 + 40 + 7 + 456 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3191911 + ... + 5957273.

Almost surely, 2^{12650407456896} is an apocalyptic number.

12650407456896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12650407456896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20956177274760).

12650407456896 is an abundant number, since it is smaller than the sum of its proper divisors (29261947092624).

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

12650407456896 is a wasteful number, since it uses less digits than its factorization.

12650407456896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2765432 (or 2765398 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 12650407456896 in words is "twelve trillion, six hundred fifty billion, four hundred seven million, four hundred fifty-six thousand, eight hundred ninety-six".