42906906226817 has 12 divisors (see below), whose sum is σ = 45621010132476. Its totient is φ = 40346023361280.

The previous prime is 42906906226813. The next prime is 42906906226841. The reversal of 42906906226817 is 71862260960924.

It can be written as a sum of positive squares in 6 ways, for example, as 3411098711056 + 39495807515761 = 1846916^2 + 6284569^2 .

It is not a de Polignac number, because 42906906226817 - 2² = 42906906226813 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 42906906226817.

It is not an unprimeable number, because it can be changed into a prime (42906906226813) 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 11 ways as a sum of consecutive naturals, for example, 67601234 + ... + 68232987.

It is an arithmetic number, because the mean of its divisors is an integer number (3801750844373).

Almost surely, 2^{42906906226817} is an apocalyptic number.

It is an amenable number.

42906906226817 is a deficient number, since it is larger than the sum of its proper divisors (2714103905659).

42906906226817 is a wasteful number, since it uses less digits than its factorization.

42906906226817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135835348 (or 135835331 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 62.

The spelling of 42906906226817 in words is "forty-two trillion, nine hundred six billion, nine hundred six million, two hundred twenty-six thousand, eight hundred seventeen".