206313419632320 has 9408 divisors, whose sum is σ = 1082752451712000. Its totient is φ = 36976275947520.

The previous prime is 206313419632283. The next prime is 206313419632349. The reversal of 206313419632320 is 23236914313602.

It is a happy number.

206313419632320 is a `hidden beast` number, since 2 + 0 + 6 + 3 + 1 + 3 + 4 + 1 + 9 + 632 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (9408).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 1343 ways as a sum of consecutive naturals, for example, 2826211227804 + ... + 2826211227876.

Almost surely, 2^{206313419632320} is an apocalyptic number.

206313419632320 is a gapful number since it is divisible by the number (20) 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 206313419632320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541376225856000).

206313419632320 is an abundant number, since it is smaller than the sum of its proper divisors (876439032079680).

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

206313419632320 is a wasteful number, since it uses less digits than its factorization.

206313419632320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The spelling of 206313419632320 in words is "two hundred six trillion, three hundred thirteen billion, four hundred nineteen million, six hundred thirty-two thousand, three hundred twenty".