200905564381456 has 45 divisors (see below), whose sum is σ = 427859614311703. Its totient is φ = 91320427600160.

The previous prime is 200905564381441. The next prime is 200905564381463. The reversal of 200905564381456 is 654183465509002.

It is a happy number.

The square root of 200905564381456 is 14174116.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 200905564381456.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 623500035 + ... + 623822173.

Almost surely, 2^{200905564381456} is an apocalyptic number.

200905564381456 is the 14174116-th square number.

It is an amenable number.

200905564381456 is an abundant number, since it is smaller than the sum of its proper divisors (226954049930247).

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

200905564381456 is an frugal number, since it uses more digits than its factorization.

200905564381456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644308 (or 322152 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 58.

The spelling of 200905564381456 in words is "two hundred trillion, nine hundred five billion, five hundred sixty-four million, three hundred eighty-one thousand, four hundred fifty-six".