2256340105665 has 24 divisors (see below), whose sum is σ = 3969362499648. Its totient is φ = 1185420471840.

The previous prime is 2256340105637. The next prime is 2256340105667. The reversal of 2256340105665 is 5665010436522.

2256340105665 is a `hidden beast` number, since 2 + 2 + 5 + 634 + 0 + 1 + 0 + 5 + 6 + 6 + 5 = 666.

It is not a de Polignac number, because 2256340105665 - 2¹⁴ = 2256340089281 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 2256340105665.

It is not an unprimeable number, because it can be changed into a prime (2256340105667) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 374182741 + ... + 374188770.

It is an arithmetic number, because the mean of its divisors is an integer number (165390104152).

Almost surely, 2^{2256340105665} is an apocalyptic number.

It is an amenable number.

2256340105665 is a deficient number, since it is larger than the sum of its proper divisors (1713022393983).

2256340105665 is a wasteful number, since it uses less digits than its factorization.

2256340105665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748371589 (or 748371586 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 2256340105665 in words is "two trillion, two hundred fifty-six billion, three hundred forty million, one hundred five thousand, six hundred sixty-five".