200315068416 has 560 divisors, whose sum is σ = 632763885600. Its totient is φ = 63063982080.

The previous prime is 200315068351. The next prime is 200315068417. The reversal of 200315068416 is 614860513002.

It is a happy number.

200315068416 is a `hidden beast` number, since 200 + 31 + 5 + 0 + 6 + 8 + 416 = 666.

It is a super-2 number, since 2×200315068416² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200315068417) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1006608285 + ... + 1006608483.

It is an arithmetic number, because the mean of its divisors is an integer number (1129935510).

Almost surely, 2^200315068416 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 200315068416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316381942800).

200315068416 is an abundant number, since it is smaller than the sum of its proper divisors (432448817184).

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

200315068416 is an equidigital number, since it uses as much as digits as its factorization.

200315068416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 200315068416 in words is "two hundred billion, three hundred fifteen million, sixty-eight thousand, four hundred sixteen".