82742281735845 has 64 divisors (see below), whose sum is σ = 140493100962816. Its totient is φ = 41439190425600.

The previous prime is 82742281735837. The next prime is 82742281735849. The reversal of 82742281735845 is 54853718224728.

It is not a de Polignac number, because 82742281735845 - 2³ = 82742281735837 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82742281735849) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2179302052 + ... + 2179340018.

It is an arithmetic number, because the mean of its divisors is an integer number (2195204702544).

Almost surely, 2^{82742281735845} is an apocalyptic number.

82742281735845 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

82742281735845 is a deficient number, since it is larger than the sum of its proper divisors (57750819226971).

82742281735845 is a wasteful number, since it uses less digits than its factorization.

82742281735845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57150.

The product of its digits is 240844800, while the sum is 66.

The spelling of 82742281735845 in words is "eighty-two trillion, seven hundred forty-two billion, two hundred eighty-one million, seven hundred thirty-five thousand, eight hundred forty-five".