206431225248 has 144 divisors (see below), whose sum is σ = 576138134880. Its totient is φ = 64640830464.

The previous prime is 206431225243. The next prime is 206431225261. The reversal of 206431225248 is 842522134602.

It is a super-2 number, since 2×206431225248² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (206431225243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3784215 + ... + 3838377.

It is an arithmetic number, because the mean of its divisors is an integer number (4000959270).

Almost surely, 2^206431225248 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 206431225248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288069067440).

206431225248 is an abundant number, since it is smaller than the sum of its proper divisors (369706909632).

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

206431225248 is a wasteful number, since it uses less digits than its factorization.

206431225248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54279 (or 54234 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The spelling of 206431225248 in words is "two hundred six billion, four hundred thirty-one million, two hundred twenty-five thousand, two hundred forty-eight".