200805424342344 has 192 divisors, whose sum is σ = 563126820272640. Its totient is φ = 64575971159040.

The previous prime is 200805424342333. The next prime is 200805424342357. The reversal of 200805424342344 is 443243424508002.

200805424342344 is a `hidden beast` number, since 2 + 0 + 0 + 8 + 0 + 542 + 43 + 4 + 23 + 44 = 666.

It is a super-2 number, since 2×200805424342344² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 200805424342344.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1139278687 + ... + 1139454929.

It is an arithmetic number, because the mean of its divisors is an integer number (2932952188920).

Almost surely, 2^{200805424342344} is an apocalyptic number.

200805424342344 is a gapful number since it is divisible by the number (24) 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 200805424342344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281563410136320).

200805424342344 is an abundant number, since it is smaller than the sum of its proper divisors (362321395930296).

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

200805424342344 is a wasteful number, since it uses less digits than its factorization.

200805424342344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177860 (or 177853 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 45.

The spelling of 200805424342344 in words is "two hundred trillion, eight hundred five billion, four hundred twenty-four million, three hundred forty-two thousand, three hundred forty-four".