206221341456 has 405 divisors, whose sum is σ = 649706491551. Its totient is φ = 61033190400.

The previous prime is 206221341451. The next prime is 206221341479. The reversal of 206221341456 is 654143122602.

The square root of 206221341456 is 454116.

It is a perfect power (a square), and thus also a powerful number.

206221341456 is a `hidden beast` number, since 2 + 0 + 622 + 13 + 4 + 14 + 5 + 6 = 666.

206221341456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 137359184400 + 68862157056 = 370620^2 + 262416^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 206221341456.

It is not an unprimeable number, because it can be changed into a prime (206221341451) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2904525901 + ... + 2904525971.

Almost surely, 2^206221341456 is an apocalyptic number.

206221341456 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

206221341456 is the 454116-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206221341456

206221341456 is an abundant number, since it is smaller than the sum of its proper divisors (443485150095).

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

206221341456 is a wasteful number, since it uses less digits than its factorization.

206221341456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Multiplying 206221341456 by its sum of digits (36), we get a square (7423968292416 = 2724696²).

206221341456 divided by its sum of digits (36) gives a square (5728370596 = 75686²).

The spelling of 206221341456 in words is "two hundred six billion, two hundred twenty-one million, three hundred forty-one thousand, four hundred fifty-six".