206225568864 has 384 divisors, whose sum is σ = 702269568000. Its totient is φ = 57662337024.

The previous prime is 206225568811. The next prime is 206225568869. The reversal of 206225568864 is 468865522602.

206225568864 is a `hidden beast` number, since 2 + 0 + 6 + 2 + 2 + 556 + 8 + 86 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 206225568864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206225568869) 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, 54714372 + ... + 54718140.

It is an arithmetic number, because the mean of its divisors is an integer number (1828827000).

Almost surely, 2^206225568864 is an apocalyptic number.

206225568864 is a gapful number since it is divisible by the number (24) 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 206225568864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351134784000).

206225568864 is an abundant number, since it is smaller than the sum of its proper divisors (496043999136).

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

206225568864 is a wasteful number, since it uses less digits than its factorization.

206225568864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3987 (or 3973 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 206225568864 in words is "two hundred six billion, two hundred twenty-five million, five hundred sixty-eight thousand, eight hundred sixty-four".