2012664291856 has 135 divisors (see below), whose sum is σ = 4286721172743. Its totient is φ = 915221422080.

The previous prime is 2012664291823. The next prime is 2012664291919. The reversal of 2012664291856 is 6581924662102.

The square root of 2012664291856 is 1418684.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 28397642256 + 1984266649600 = 168516^2 + 1408640^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2990585536 + ... + 2990586208.

Almost surely, 2^{2012664291856} is an apocalyptic number.

2012664291856 is the 1418684-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012664291856

2012664291856 is an abundant number, since it is smaller than the sum of its proper divisors (2274056880887).

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

2012664291856 is an frugal number, since it uses more digits than its factorization.

2012664291856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 52.

The spelling of 2012664291856 in words is "two trillion, twelve billion, six hundred sixty-four million, two hundred ninety-one thousand, eight hundred fifty-six".