12846661632 has 384 divisors, whose sum is σ = 43620096000. Its totient is φ = 3641573376.

The previous prime is 12846661631. The next prime is 12846661693. The reversal of 12846661632 is 23616664821.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12846661631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101154753 + ... + 101154879.

It is an arithmetic number, because the mean of its divisors is an integer number (113594000).

Almost surely, 2^12846661632 is an apocalyptic number.

12846661632 is a gapful number since it is divisible by the number (12) 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 12846661632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21810048000).

12846661632 is an abundant number, since it is smaller than the sum of its proper divisors (30773434368).

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

12846661632 is an frugal number, since it uses more digits than its factorization.

12846661632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 139 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 12846661632 in words is "twelve billion, eight hundred forty-six million, six hundred sixty-one thousand, six hundred thirty-two".