12661467616 has 96 divisors (see below), whose sum is σ = 30359992320. Its totient is φ = 5079883776.

The previous prime is 12661467517. The next prime is 12661467619. The reversal of 12661467616 is 61676416621.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12661467619) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216000 + ... + 268288.

It is an arithmetic number, because the mean of its divisors is an integer number (316249920).

Almost surely, 2^12661467616 is an apocalyptic number.

12661467616 is a gapful number since it is divisible by the number (16) 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 12661467616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15179996160).

12661467616 is an abundant number, since it is smaller than the sum of its proper divisors (17698524704).

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

12661467616 is a wasteful number, since it uses less digits than its factorization.

12661467616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52376 (or 52368 counting only the distinct ones).

The product of its digits is 435456, while the sum is 46.

The spelling of 12661467616 in words is "twelve billion, six hundred sixty-one million, four hundred sixty-seven thousand, six hundred sixteen".