10006226465665 has 16 divisors (see below), whose sum is σ = 12132169320960. Its totient is φ = 7921925435200.

The previous prime is 10006226465659. The next prime is 10006226465687. The reversal of 10006226465665 is 56656462260001.

It is not a de Polignac number, because 10006226465665 - 2¹⁷ = 10006226334593 is a prime.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3693145 + ... + 5801014.

It is an arithmetic number, because the mean of its divisors is an integer number (758260582560).

Almost surely, 2^{10006226465665} is an apocalyptic number.

It is an amenable number.

10006226465665 is a deficient number, since it is larger than the sum of its proper divisors (2125942855295).

10006226465665 is a wasteful number, since it uses less digits than its factorization.

10006226465665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9496352.

The product of its (nonzero) digits is 3110400, while the sum is 49.

The spelling of 10006226465665 in words is "ten trillion, six billion, two hundred twenty-six million, four hundred sixty-five thousand, six hundred sixty-five".