12641991168 has 160 divisors (see below), whose sum is σ = 34709653440. Its totient is φ = 4086333440.

The previous prime is 12641991149. The next prime is 12641991179. The reversal of 12641991168 is 86119914621.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12405763 + ... + 12406781.

It is an arithmetic number, because the mean of its divisors is an integer number (216935334).

Almost surely, 2^12641991168 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 12641991168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17354826720).

12641991168 is an abundant number, since it is smaller than the sum of its proper divisors (22067662272).

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

12641991168 is a wasteful number, since it uses less digits than its factorization.

12641991168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 1262 counting only the distinct ones).

The product of its digits is 186624, while the sum is 48.

The spelling of 12641991168 in words is "twelve billion, six hundred forty-one million, nine hundred ninety-one thousand, one hundred sixty-eight".