2256617661341 has 8 divisors (see below), whose sum is σ = 2389481047800. Its totient is φ = 2123767738368.

The previous prime is 2256617661323. The next prime is 2256617661367. The reversal of 2256617661341 is 1431667166522.

2256617661341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 206437557316 + 2050180104025 = 454354^2 + 1431845^2 .

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-2256617661341 is a prime.

It is a super-2 number, since 2×2256617661341² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2256617661341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256617661301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3019766 + ... + 3692183.

It is an arithmetic number, because the mean of its divisors is an integer number (298685130975).

Almost surely, 2^{2256617661341} is an apocalyptic number.

It is an amenable number.

2256617661341 is a deficient number, since it is larger than the sum of its proper divisors (132863386459).

2256617661341 is a wasteful number, since it uses less digits than its factorization.

2256617661341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6731743.

The product of its digits is 2177280, while the sum is 50.

The spelling of 2256617661341 in words is "two trillion, two hundred fifty-six billion, six hundred seventeen million, six hundred sixty-one thousand, three hundred forty-one".