200700416016 has 135 divisors (see below), whose sum is σ = 577845997911. Its totient is φ = 65027515392.

The previous prime is 200700416009. The next prime is 200700416023. The reversal of 200700416016 is 610614007002.

The square root of 200700416016 is 447996.

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

It is an interprime number because it is at equal distance from previous prime (200700416009) and next prime (200700416023).

It can be written as a sum of positive squares in 4 ways, for example, as 12954992400 + 187745423616 = 113820^2 + 433296^2 .

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, 198909720 + ... + 198910728.

Almost surely, 2^200700416016 is an apocalyptic number.

200700416016 is the 447996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200700416016

200700416016 is an abundant number, since it is smaller than the sum of its proper divisors (377145581895).

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

200700416016 is an equidigital number, since it uses as much as digits as its factorization.

200700416016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 200700416016 in words is "two hundred billion, seven hundred million, four hundred sixteen thousand, sixteen".