12468646944 has 432 divisors, whose sum is σ = 41126248800. Its totient is φ = 3571236864.

The previous prime is 12468646921. The next prime is 12468646951. The reversal of 12468646944 is 44964686421.

It is a super-2 number, since 2×12468646944² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 89702427 + ... + 89702565.

It is an arithmetic number, because the mean of its divisors is an integer number (95199650).

Almost surely, 2^12468646944 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 12468646944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20563124400).

12468646944 is an abundant number, since it is smaller than the sum of its proper divisors (28657601856).

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

12468646944 is a wasteful number, since it uses less digits than its factorization.

12468646944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 273 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 12468646944 in words is "twelve billion, four hundred sixty-eight million, six hundred forty-six thousand, nine hundred forty-four".