206890187628384 has 288 divisors, whose sum is σ = 672348573921024. Its totient is φ = 62178087283200.

The previous prime is 206890187628379. The next prime is 206890187628409. The reversal of 206890187628384 is 483826781098602.

206890187628384 is a `hidden beast` number, since 2 + 0 + 6 + 8 + 9 + 0 + 187 + 62 + 8 + 384 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19451292 + ... + 28144859.

It is an arithmetic number, because the mean of its divisors is an integer number (2334543659448).

Almost surely, 2^{206890187628384} is an apocalyptic number.

206890187628384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

206890187628384 is an abundant number, since it is smaller than the sum of its proper divisors (465458386292640).

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

206890187628384 is a wasteful number, since it uses less digits than its factorization.

206890187628384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47596232 (or 47596212 counting only the distinct ones).

The product of its (nonzero) digits is 445906944, while the sum is 72.

The spelling of 206890187628384 in words is "two hundred six trillion, eight hundred ninety billion, one hundred eighty-seven million, six hundred twenty-eight thousand, three hundred eighty-four".