2001646353312 has 144 divisors (see below), whose sum is σ = 6028427131272. Its totient is φ = 627820462080.

The previous prime is 2001646353253. The next prime is 2001646353347. The reversal of 2001646353312 is 2133536461002.

2001646353312 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 6 + 4 + 635 + 3 + 3 + 12 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1718626609296 + 283019744016 = 1310964^2 + 531996^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21893358 + ... + 21984594.

Almost surely, 2^{2001646353312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001646353312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3014213565636).

2001646353312 is an abundant number, since it is smaller than the sum of its proper divisors (4026780777960).

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

2001646353312 is a wasteful number, since it uses less digits than its factorization.

2001646353312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95751 (or 95740 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 2001646353312 in words is "two trillion, one billion, six hundred forty-six million, three hundred fifty-three thousand, three hundred twelve".