2226745346085 has 384 divisors, whose sum is σ = 4580340203520. Its totient is φ = 1037053704960.

The previous prime is 2226745346047. The next prime is 2226745346099. The reversal of 2226745346085 is 5806435476222.

2226745346085 is a `hidden beast` number, since 2 + 2 + 2 + 67 + 45 + 3 + 460 + 85 = 666.

It is not a de Polignac number, because 2226745346085 - 2⁸ = 2226745345829 is a prime.

It is a super-2 number, since 2×2226745346085² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 2692557442 + ... + 2692558268.

It is an arithmetic number, because the mean of its divisors is an integer number (11927969280).

Almost surely, 2^{2226745346085} is an apocalyptic number.

It is an amenable number.

2226745346085 is an abundant number, since it is smaller than the sum of its proper divisors (2353594857435).

2226745346085 is an equidigital number, since it uses as much as digits as its factorization.

2226745346085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 2226745346085 in words is "two trillion, two hundred twenty-six billion, seven hundred forty-five million, three hundred forty-six thousand, eighty-five".