208503896432896 has 81 divisors (see below), whose sum is σ = 442123728382189. Its totient is φ = 98117632397312.

The previous prime is 208503896432873. The next prime is 208503896432927. The reversal of 208503896432896 is 698234698305802.

The square root of 208503896432896 is 14439664.

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

It can be written as a sum of positive squares in only one way, i.e., 162330023174400 + 46173873258496 = 12740880^2 + 6795136^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3927562065 + ... + 3927615151.

Almost surely, 2^{208503896432896} is an apocalyptic number.

208503896432896 is the 14439664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208503896432896

208503896432896 is an abundant number, since it is smaller than the sum of its proper divisors (233619831949293).

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

208503896432896 is an frugal number, since it uses more digits than its factorization.

208503896432896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106224 (or 53106 counting only the distinct ones).

The product of its (nonzero) digits is 1074954240, while the sum is 73.

The spelling of 208503896432896 in words is "two hundred eight trillion, five hundred three billion, eight hundred ninety-six million, four hundred thirty-two thousand, eight hundred ninety-six".