208264151449600 has 135 divisors (see below), whose sum is σ = 516502239186927. Its totient is φ = 83301966151680.

The previous prime is 208264151449597. The next prime is 208264151449687. The reversal of 208264151449600 is 6944151462802.

The square root of 208264151449600 is 14431360.

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

It can be written as a sum of positive squares in 4 ways, for example, as 56941874528256 + 151322276921344 = 7545984^2 + 12301312^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9236059126 + ... + 9236081674.

Almost surely, 2^{208264151449600} is an apocalyptic number.

208264151449600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

208264151449600 is the 14431360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208264151449600

208264151449600 is an abundant number, since it is smaller than the sum of its proper divisors (308238087737327).

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

208264151449600 is an frugal number, since it uses more digits than its factorization.

208264151449600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45136 (or 22556 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 52.

The spelling of 208264151449600 in words is "two hundred eight trillion, two hundred sixty-four billion, one hundred fifty-one million, four hundred forty-nine thousand, six hundred".