12245068567296 has 288 divisors, whose sum is σ = 36673548891840. Its totient is φ = 4079944028160.

The previous prime is 12245068567283. The next prime is 12245068567321. The reversal of 12245068567296 is 69276586054221.

12245068567296 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 5 + 0 + 68 + 567 + 2 + 9 + 6 = 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2587166146 + ... + 2587170878.

It is an arithmetic number, because the mean of its divisors is an integer number (127338711430).

Almost surely, 2^{12245068567296} is an apocalyptic number.

12245068567296 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 12245068567296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18336774445920).

12245068567296 is an abundant number, since it is smaller than the sum of its proper divisors (24428480324544).

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

12245068567296 is an frugal number, since it uses more digits than its factorization.

12245068567296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9391 (or 9359 counting only the distinct ones).

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

The spelling of 12245068567296 in words is "twelve trillion, two hundred forty-five billion, sixty-eight million, five hundred sixty-seven thousand, two hundred ninety-six".