206540833314816 has 2304 divisors, whose sum is σ = 845661125836800. Its totient is φ = 46770860851200.

The previous prime is 206540833314731. The next prime is 206540833314853. The reversal of 206540833314816 is 618413338045602.

206540833314816 is a `hidden beast` number, since 2 + 0 + 6 + 54 + 0 + 83 + 3 + 31 + 481 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×206540833314816² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 151090586965 + ... + 151090588331.

It is an arithmetic number, because the mean of its divisors is an integer number (367040419200).

Almost surely, 2^{206540833314816} is an apocalyptic number.

206540833314816 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 206540833314816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422830562918400).

206540833314816 is an abundant number, since it is smaller than the sum of its proper divisors (639120292521984).

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

206540833314816 is a wasteful number, since it uses less digits than its factorization.

206540833314816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1876 (or 1853 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 206540833314816 in words is "two hundred six trillion, five hundred forty billion, eight hundred thirty-three million, three hundred fourteen thousand, eight hundred sixteen".