203764233709201 has 81 divisors (see below), whose sum is σ = 237445105053681. Its totient is φ = 174721116240000.

The previous prime is 203764233709159. The next prime is 203764233709241. The reversal of 203764233709201 is 102907332467302.

The square root of 203764233709201 is 14274601.

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 43713902499201 + 160050331210000 = 6611649^2 + 12651100^2 .

It is not a de Polignac number, because 203764233709201 - 2⁹ = 203764233708689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (203764233709241) 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, 199573196071 + ... + 199573197091.

Almost surely, 2^{203764233709201} is an apocalyptic number.

203764233709201 is the 14274601-st square number.

203764233709201 is the 7137301-st centered octagonal number.

It is an amenable number.

203764233709201 is a deficient number, since it is larger than the sum of its proper divisors (33680871344480).

203764233709201 is an frugal number, since it uses more digits than its factorization.

203764233709201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2208 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 49.

The spelling of 203764233709201 in words is "two hundred three trillion, seven hundred sixty-four billion, two hundred thirty-three million, seven hundred nine thousand, two hundred one".