12446284032 has 864 divisors, whose sum is σ = 48212236800. Its totient is φ = 2997485568.

The previous prime is 12446284031. The next prime is 12446284043. The reversal of 12446284032 is 23048264421.

12446284032 is a `hidden beast` number, since 1 + 24 + 4 + 628 + 4 + 0 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12446284031) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 139845844 + ... + 139845932.

It is an arithmetic number, because the mean of its divisors is an integer number (55801200).

Almost surely, 2^12446284032 is an apocalyptic number.

12446284032 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 12446284032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24106118400).

12446284032 is an abundant number, since it is smaller than the sum of its proper divisors (35765952768).

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

12446284032 is a wasteful number, since it uses less digits than its factorization.

12446284032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 12446284032 in words is "twelve billion, four hundred forty-six million, two hundred eighty-four thousand, thirty-two".