205424227008 has 1120 divisors, whose sum is σ = 844635230208. Its totient is φ = 47626444800.

The previous prime is 205424226947. The next prime is 205424227033. The reversal of 205424227008 is 800722424502.

205424227008 is a `hidden beast` number, since 2 + 0 + 5 + 424 + 227 + 0 + 0 + 8 = 666.

It is a super-4 number, since 4×205424227008⁴ (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 160864066 + ... + 160865342.

Almost surely, 2^205424227008 is an apocalyptic number.

205424227008 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 205424227008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422317615104).

205424227008 is an abundant number, since it is smaller than the sum of its proper divisors (639211003200).

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

205424227008 is a wasteful number, since it uses less digits than its factorization.

205424227008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 205424227008 in words is "two hundred five billion, four hundred twenty-four million, two hundred twenty-seven thousand, eight".