2256446410667 has 2 divisors, whose sum is σ = 2256446410668. Its totient is φ = 2256446410666.

The previous prime is 2256446410637. The next prime is 2256446410697. The reversal of 2256446410667 is 7660146446522.

It is a balanced prime because it is at equal distance from previous prime (2256446410637) and next prime (2256446410697).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2256446410667 is a prime.

It is a super-2 number, since 2×2256446410667² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2256446410607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1128223205333 + 1128223205334.

It is an arithmetic number, because the mean of its divisors is an integer number (1128223205334).

Almost surely, 2^{2256446410667} is an apocalyptic number.

2256446410667 is a deficient number, since it is larger than the sum of its proper divisors (1).

2256446410667 is an equidigital number, since it uses as much as digits as its factorization.

2256446410667 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11612160, while the sum is 53.

The spelling of 2256446410667 in words is "two trillion, two hundred fifty-six billion, four hundred forty-six million, four hundred ten thousand, six hundred sixty-seven".