206424228384 has 240 divisors, whose sum is σ = 673140416256. Its totient is φ = 61526822400.

The previous prime is 206424228371. The next prime is 206424228391. The reversal of 206424228384 is 483822424602.

206424228384 is a `hidden beast` number, since 2 + 0 + 6 + 4 + 242 + 28 + 384 = 666.

It is a super-2 number, since 2×206424228384² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1679889 + ... + 1798575.

Almost surely, 2^206424228384 is an apocalyptic number.

206424228384 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 206424228384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336570208128).

206424228384 is an abundant number, since it is smaller than the sum of its proper divisors (466716187872).

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

206424228384 is a wasteful number, since it uses less digits than its factorization.

206424228384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118781 (or 118764 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 45.

The spelling of 206424228384 in words is "two hundred six billion, four hundred twenty-four million, two hundred twenty-eight thousand, three hundred eighty-four".