206446644096 has 256 divisors, whose sum is σ = 684252817920. Its totient is φ = 53578137600.

The previous prime is 206446644091. The next prime is 206446644109. The reversal of 206446644096 is 690446644602.

It is a happy number.

206446644096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206446644091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50884500 + ... + 50888556.

It is an arithmetic number, because the mean of its divisors is an integer number (2672862570).

Almost surely, 2^206446644096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206446644096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342126408960).

206446644096 is an abundant number, since it is smaller than the sum of its proper divisors (477806173824).

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

206446644096 is a wasteful number, since it uses less digits than its factorization.

206446644096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5813 (or 5801 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 51.

The spelling of 206446644096 in words is "two hundred six billion, four hundred forty-six million, six hundred forty-four thousand, ninety-six".