205843804816 has 160 divisors (see below), whose sum is σ = 468961095680. Its totient is φ = 86677516800.

The previous prime is 205843804807. The next prime is 205843804823. The reversal of 205843804816 is 618408348502.

It is a super-2 number, since 2×205843804816² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 205843804816.

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, 25846051 + ... + 25854013.

It is an arithmetic number, because the mean of its divisors is an integer number (2931006848).

Almost surely, 2^205843804816 is an apocalyptic number.

205843804816 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 205843804816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234480547840).

205843804816 is an abundant number, since it is smaller than the sum of its proper divisors (263117290864).

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

205843804816 is a wasteful number, since it uses less digits than its factorization.

205843804816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8245 (or 8239 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 49.

The spelling of 205843804816 in words is "two hundred five billion, eight hundred forty-three million, eight hundred four thousand, eight hundred sixteen".