200873967493248 has 4608 divisors, whose sum is σ = 809907130368000. Its totient is φ = 49259374940160.

The previous prime is 200873967493187. The next prime is 200873967493253. The reversal of 200873967493248 is 842394769378002.

200873967493248 is a `hidden beast` number, since 2 + 0 + 0 + 8 + 7 + 3 + 96 + 7 + 493 + 2 + 48 = 666.

It is a super-3 number, since 3×200873967493248³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 4273914201961 + ... + 4273914202007.

It is an arithmetic number, because the mean of its divisors is an integer number (175761096000).

Almost surely, 2^{200873967493248} is an apocalyptic number.

200873967493248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200873967493248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404953565184000).

200873967493248 is an abundant number, since it is smaller than the sum of its proper divisors (609033162874752).

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

200873967493248 is an equidigital number, since it uses as much as digits as its factorization.

200873967493248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 877879296, while the sum is 72.

The spelling of 200873967493248 in words is "two hundred trillion, eight hundred seventy-three billion, nine hundred sixty-seven million, four hundred ninety-three thousand, two hundred forty-eight".