200948728736 has 144 divisors (see below), whose sum is σ = 476749627200. Its totient is φ = 83338416000.

The previous prime is 200948728649. The next prime is 200948728759. The reversal of 200948728736 is 637827849002.

It is a happy number.

200948728736 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×200948728736² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10538411 + ... + 10557461.

It is an arithmetic number, because the mean of its divisors is an integer number (3310761300).

Almost surely, 2^200948728736 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 200948728736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238374813600).

200948728736 is an abundant number, since it is smaller than the sum of its proper divisors (275800898464).

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

200948728736 is an equidigital number, since it uses as much as digits as its factorization.

200948728736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19144 (or 19091 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 56.

The spelling of 200948728736 in words is "two hundred billion, nine hundred forty-eight million, seven hundred twenty-eight thousand, seven hundred thirty-six".