12661645410 has 320 divisors, whose sum is σ = 37466478720. Its totient is φ = 3065392512.

The previous prime is 12661645393. The next prime is 12661645433. The reversal of 12661645410 is 1454616621.

12661645410 is a `hidden beast` number, since 1 + 2 + 6 + 6 + 1 + 645 + 4 + 1 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 238898944 + ... + 238898996.

It is an arithmetic number, because the mean of its divisors is an integer number (117082746).

Almost surely, 2^12661645410 is an apocalyptic number.

12661645410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12661645410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18733239360).

12661645410 is an abundant number, since it is smaller than the sum of its proper divisors (24804833310).

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

12661645410 is an equidigital number, since it uses as much as digits as its factorization.

12661645410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 12661645410 in words is "twelve billion, six hundred sixty-one million, six hundred forty-five thousand, four hundred ten".