12213387648 has 288 divisors, whose sum is σ = 44152988880. Its totient is φ = 3172055040.

The previous prime is 12213387643. The next prime is 12213387737. The reversal of 12213387648 is 84678331221.

12213387648 is a `hidden beast` number, since 1 + 221 + 3 + 387 + 6 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12213387643) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 969486 + ... + 982002.

Almost surely, 2^12213387648 is an apocalyptic number.

12213387648 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 12213387648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22076494440).

12213387648 is an abundant number, since it is smaller than the sum of its proper divisors (31939601232).

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

12213387648 is a wasteful number, since it uses less digits than its factorization.

12213387648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12566 (or 12540 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 12213387648 in words is "twelve billion, two hundred thirteen million, three hundred eighty-seven thousand, six hundred forty-eight".