206883852126016 has 448 divisors, whose sum is σ = 458625820262400. Its totient is φ = 92008941133824.

The previous prime is 206883852126013. The next prime is 206883852126019. The reversal of 206883852126016 is 610621258388602.

It is an interprime number because it is at equal distance from previous prime (206883852126013) and next prime (206883852126019).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206883852126011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 287738319705 + ... + 287738320423.

It is an arithmetic number, because the mean of its divisors is an integer number (1023718348800).

Almost surely, 2^{206883852126016} is an apocalyptic number.

206883852126016 is a gapful number since it is divisible by the number (26) 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 206883852126016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229312910131200).

206883852126016 is an abundant number, since it is smaller than the sum of its proper divisors (251741968136384).

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

206883852126016 is a wasteful number, since it uses less digits than its factorization.

206883852126016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 58.

The spelling of 206883852126016 in words is "two hundred six trillion, eight hundred eighty-three billion, eight hundred fifty-two million, one hundred twenty-six thousand, sixteen".