12964518216 has 192 divisors, whose sum is σ = 40255488000. Its totient is φ = 3736212480.

The previous prime is 12964518209. The next prime is 12964518221. The reversal of 12964518216 is 61281546921.

12964518216 is a `hidden beast` number, since 129 + 6 + 4 + 518 + 2 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1578681 + ... + 1586871.

It is an arithmetic number, because the mean of its divisors is an integer number (209664000).

Almost surely, 2^12964518216 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 12964518216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20127744000).

12964518216 is an abundant number, since it is smaller than the sum of its proper divisors (27290969784).

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

12964518216 is a wasteful number, since it uses less digits than its factorization.

12964518216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8324 (or 8317 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The spelling of 12964518216 in words is "twelve billion, nine hundred sixty-four million, five hundred eighteen thousand, two hundred sixteen".