200182016016 has 120 divisors (see below), whose sum is σ = 564298090200. Its totient is φ = 66243760128.

The previous prime is 200182016011. The next prime is 200182016017. The reversal of 200182016016 is 610610281002.

200182016016 is a `hidden beast` number, since 20 + 0 + 18 + 20 + 1 + 601 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 128668559616 + 71513456400 = 358704^2 + 267420^2 .

It is not an unprimeable number, because it can be changed into a prime (200182016011) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 31037560 + ... + 31044008.

It is an arithmetic number, because the mean of its divisors is an integer number (4702484085).

Almost surely, 2^200182016016 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 200182016016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282149045100).

200182016016 is an abundant number, since it is smaller than the sum of its proper divisors (364116074184).

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

200182016016 is a wasteful number, since it uses less digits than its factorization.

200182016016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7993 (or 7984 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 200182016016 its reverse (610610281002), we get a palindrome (810792297018).

The spelling of 200182016016 in words is "two hundred billion, one hundred eighty-two million, sixteen thousand, sixteen".