12616008768 has 224 divisors, whose sum is σ = 40845150720. Its totient is φ = 3786693120.

The previous prime is 12616008761. The next prime is 12616008773. The reversal of 12616008768 is 86780061621.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12616008761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2030755 + ... + 2036957.

Almost surely, 2^12616008768 is an apocalyptic number.

12616008768 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 12616008768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20422575360).

12616008768 is an abundant number, since it is smaller than the sum of its proper divisors (28229141952).

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

12616008768 is a wasteful number, since it uses less digits than its factorization.

12616008768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6342 (or 6326 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 12616008768 in words is "twelve billion, six hundred sixteen million, eight thousand, seven hundred sixty-eight".