12451265568 has 576 divisors, whose sum is σ = 44522569728. Its totient is φ = 3348034560.

The previous prime is 12451265551. The next prime is 12451265581. The reversal of 12451265568 is 86556215421.

12451265568 is a `hidden beast` number, since 1 + 24 + 5 + 1 + 2 + 65 + 568 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79307346 + ... + 79307502.

It is an arithmetic number, because the mean of its divisors is an integer number (77296128).

Almost surely, 2^12451265568 is an apocalyptic number.

12451265568 is a gapful number since it is divisible by the number (18) 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 12451265568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22261284864).

12451265568 is an abundant number, since it is smaller than the sum of its proper divisors (32071304160).

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

12451265568 is a wasteful number, since it uses less digits than its factorization.

12451265568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 247 counting only the distinct ones).

The product of its digits is 576000, while the sum is 45.

The spelling of 12451265568 in words is "twelve billion, four hundred fifty-one million, two hundred sixty-five thousand, five hundred sixty-eight".