12664652616 has 768 divisors, whose sum is σ = 48096921600. Its totient is φ = 3023308800.

The previous prime is 12664652603. The next prime is 12664652629. The reversal of 12664652616 is 61625646621.

12664652616 is a `hidden beast` number, since 1 + 26 + 6 + 4 + 6 + 5 + 2 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (12664652603) and next prime (12664652629).

Its product of digits (622080) is a multiple of the sum of its prime factors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 173488356 + ... + 173488428.

It is an arithmetic number, because the mean of its divisors is an integer number (62626200).

Almost surely, 2^12664652616 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 12664652616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24048460800).

12664652616 is an abundant number, since it is smaller than the sum of its proper divisors (35432268984).

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

12664652616 is a wasteful number, since it uses less digits than its factorization.

12664652616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 176 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 12664652616 in words is "twelve billion, six hundred sixty-four million, six hundred fifty-two thousand, six hundred sixteen".