2268635427601 has 3 divisors (see below), whose sum is σ = 2268636933801. Its totient is φ = 2268633921402.

The previous prime is 2268635427589. The next prime is 2268635427671. The reversal of 2268635427601 is 1067245368622.

The square root of 2268635427601 is 1506199.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 2268635427601 - 2¹⁹ = 2268634903313 is a prime.

It is a super-2 number, since 2×2268635427601² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2268635427671) by changing a digit.

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 2 ways as a sum of consecutive naturals, for example, 753100 + ... + 2259298.

It is an arithmetic number, because the mean of its divisors is an integer number (756212311267).

Almost surely, 2^{2268635427601} is an apocalyptic number.

2268635427601 is the 1506199-th square number.

2268635427601 is the 753100-th centered octagonal number.

It is an amenable number.

2268635427601 is a deficient number, since it is larger than the sum of its proper divisors (1506200).

2268635427601 is an frugal number, since it uses more digits than its factorization.

2268635427601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3012398 (or 1506199 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 52.

The spelling of 2268635427601 in words is "two trillion, two hundred sixty-eight billion, six hundred thirty-five million, four hundred twenty-seven thousand, six hundred one".