2000016000032 has 90 divisors (see below), whose sum is σ = 4058852643153. Its totient is φ = 970115880448.

The previous prime is 2000015999999. The next prime is 2000016000067. The reversal of 2000016000032 is 2300006100002.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 31483534096 + 1968532465936 = 177436^2 + 1403044^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1000004.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2000015999980 and 2000016000016.

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 14 ways as a sum of consecutive naturals, for example, 22472089844 + ... + 22472089932.

Almost surely, 2^{2000016000032} 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 2000016000032

2000016000032 is an abundant number, since it is smaller than the sum of its proper divisors (2058836643121).

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

2000016000032 is an frugal number, since it uses more digits than its factorization.

2000016000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Multiplying 2000016000032 by its product of nonzero digits (72), we get a square (144001152002304 = 12000048²).

The spelling of 2000016000032 in words is "two trillion, sixteen million, thirty-two", and thus it is an aban number and an uban number.