12468418560 has 384 divisors, whose sum is σ = 47744424000. Its totient is φ = 3068264448.

The previous prime is 12468418499. The next prime is 12468418577. The reversal of 12468418560 is 6581486421.

It is a happy number.

12468418560 is a `hidden beast` number, since 1 + 2 + 4 + 6 + 84 + 1 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×12468418560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 3592506 + ... + 3595974.

Almost surely, 2^12468418560 is an apocalyptic number.

12468418560 is a gapful number since it is divisible by the number (10) 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 12468418560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23872212000).

12468418560 is an abundant number, since it is smaller than the sum of its proper divisors (35276005440).

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

12468418560 is a wasteful number, since it uses less digits than its factorization.

12468418560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3518 (or 3492 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 12468418560 in words is "twelve billion, four hundred sixty-eight million, four hundred eighteen thousand, five hundred sixty".