12219663456 has 768 divisors, whose sum is σ = 48771072000. Its totient is φ = 2874009600.

The previous prime is 12219663413. The next prime is 12219663457. The reversal of 12219663456 is 65436691221.

12219663456 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 9 + 6 + 634 + 5 + 6 = 666.

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

Its product of digits (466560) is a multiple of the sum of its prime factors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12219663457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61405245 + ... + 61405443.

It is an arithmetic number, because the mean of its divisors is an integer number (63504000).

Almost surely, 2^12219663456 is an apocalyptic number.

12219663456 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 12219663456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24385536000).

12219663456 is an abundant number, since it is smaller than the sum of its proper divisors (36551408544).

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

12219663456 is a wasteful number, since it uses less digits than its factorization.

12219663456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 306 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The spelling of 12219663456 in words is "twelve billion, two hundred nineteen million, six hundred sixty-three thousand, four hundred fifty-six".