206646748124160 has 352 divisors, whose sum is σ = 664550093433600. Its totient is φ = 54806061514752.

The previous prime is 206646748124153. The next prime is 206646748124203. The reversal of 206646748124160 is 61421847646602.

It is a self number, because there is not a number n which added to its sum of digits gives 206646748124160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2476282116 + ... + 2476365564.

It is an arithmetic number, because the mean of its divisors is an integer number (1887926401800).

Almost surely, 2^{206646748124160} is an apocalyptic number.

206646748124160 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 206646748124160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332275046716800).

206646748124160 is an abundant number, since it is smaller than the sum of its proper divisors (457903345309440).

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

206646748124160 is a wasteful number, since it uses less digits than its factorization.

206646748124160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84353 (or 84335 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 57.

The spelling of 206646748124160 in words is "two hundred six trillion, six hundred forty-six billion, seven hundred forty-eight million, one hundred twenty-four thousand, one hundred sixty".