12218646528 has 480 divisors, whose sum is σ = 41270691840. Its totient is φ = 3583180800.

The previous prime is 12218646509. The next prime is 12218646571. The reversal of 12218646528 is 82564681221.

12218646528 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 86 + 46 + 528 = 666.

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, 394149873 + ... + 394149903.

It is an arithmetic number, because the mean of its divisors is an integer number (85980608).

Almost surely, 2^12218646528 is an apocalyptic number.

12218646528 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 12218646528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20635345920).

12218646528 is an abundant number, since it is smaller than the sum of its proper divisors (29052045312).

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

12218646528 is an frugal number, since it uses more digits than its factorization.

12218646528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 47 counting only the distinct ones).

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

The spelling of 12218646528 in words is "twelve billion, two hundred eighteen million, six hundred forty-six thousand, five hundred twenty-eight".