12646145191680 has 2304 divisors, whose sum is σ = 61010813767680. Its totient is φ = 2425096765440.

The previous prime is 12646145191679. The next prime is 12646145191747. The reversal of 12646145191680 is 8619154164621.

12646145191680 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 61 + 4 + 519 + 1 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2802157104 + ... + 2802161616.

It is an arithmetic number, because the mean of its divisors is an integer number (26480387920).

Almost surely, 2^{12646145191680} is an apocalyptic number.

12646145191680 is a gapful number since it is divisible by the number (10) 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 12646145191680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30505406883840).

12646145191680 is an abundant number, since it is smaller than the sum of its proper divisors (48364668576000).

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

12646145191680 is an equidigital number, since it uses as much as digits as its factorization.

12646145191680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4586 (or 4554 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 12646145191680 in words is "twelve trillion, six hundred forty-six billion, one hundred forty-five million, one hundred ninety-one thousand, six hundred eighty".