8442117648135 has 32 divisors (see below), whose sum is σ = 15009119801280. Its totient is φ = 4502189551104.

The previous prime is 8442117648119. The next prime is 8442117648137. The reversal of 8442117648135 is 5318467112448.

It is a happy number.

8442117648135 is a `hidden beast` number, since 8 + 4 + 42 + 117 + 6 + 481 + 3 + 5 = 666.

It is not a de Polignac number, because 8442117648135 - 2⁴ = 8442117648119 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8442117648137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 345747 + ... + 4123563.

It is an arithmetic number, because the mean of its divisors is an integer number (469034993790).

Almost surely, 2^{8442117648135} is an apocalyptic number.

8442117648135 is a deficient number, since it is larger than the sum of its proper divisors (6567002153145).

8442117648135 is a wasteful number, since it uses less digits than its factorization.

8442117648135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3794384 (or 3794378 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 8442117648135 in words is "eight trillion, four hundred forty-two billion, one hundred seventeen million, six hundred forty-eight thousand, one hundred thirty-five".