2256200256341 has 8 divisors (see below), whose sum is σ = 2259551528280. Its totient is φ = 2252850103552.

The previous prime is 2256200256319. The next prime is 2256200256353. The reversal of 2256200256341 is 1436520026522.

It can be written as a sum of positive squares in 4 ways, for example, as 364073458225 + 1892126798116 = 603385^2 + 1375546^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2256200256341 is a prime.

It is a super-2 number, since 2×2256200256341² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2256200256295 and 2256200256304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256200256311) 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 7 ways as a sum of consecutive naturals, for example, 3799265 + ... + 4352793.

It is an arithmetic number, because the mean of its divisors is an integer number (282443941035).

Almost surely, 2^{2256200256341} is an apocalyptic number.

It is an amenable number.

2256200256341 is a deficient number, since it is larger than the sum of its proper divisors (3351271939).

2256200256341 is an equidigital number, since it uses as much as digits as its factorization.

2256200256341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559575.

The product of its (nonzero) digits is 172800, while the sum is 38.

The spelling of 2256200256341 in words is "two trillion, two hundred fifty-six billion, two hundred million, two hundred fifty-six thousand, three hundred forty-one".