12448890814464 has 408 divisors, whose sum is σ = 40414054655520. Its totient is φ = 3663835693056.

The previous prime is 12448890814453. The next prime is 12448890814489. The reversal of 12448890814464 is 46441809884421.

12448890814464 is a `hidden beast` number, since 1 + 2 + 4 + 4 + 8 + 8 + 90 + 81 + 4 + 464 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176322082 + ... + 176392670.

Almost surely, 2^{12448890814464} 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 12448890814464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20207027327760).

12448890814464 is an abundant number, since it is smaller than the sum of its proper divisors (27965163841056).

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

12448890814464 is an equidigital number, since it uses as much as digits as its factorization.

12448890814464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70663 (or 70630 counting only the distinct ones).

The product of its (nonzero) digits is 56623104, while the sum is 63.

The spelling of 12448890814464 in words is "twelve trillion, four hundred forty-eight billion, eight hundred ninety million, eight hundred fourteen thousand, four hundred sixty-four".