82345681041305 has 64 divisors (see below), whose sum is σ = 118680957388800. Its totient is φ = 54148579737600.

The previous prime is 82345681041241. The next prime is 82345681041329. The reversal of 82345681041305 is 50314018654328.

It is not a de Polignac number, because 82345681041305 - 2⁶ = 82345681041241 is a prime.

It is a super-2 number, since 2×82345681041305² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6397580 + ... + 14339469.

It is an arithmetic number, because the mean of its divisors is an integer number (1854389959200).

Almost surely, 2^{82345681041305} is an apocalyptic number.

82345681041305 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

82345681041305 is a deficient number, since it is larger than the sum of its proper divisors (36335276347495).

82345681041305 is a wasteful number, since it uses less digits than its factorization.

82345681041305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20737250.

The product of its (nonzero) digits is 2764800, while the sum is 50.

The spelling of 82345681041305 in words is "eighty-two trillion, three hundred forty-five billion, six hundred eighty-one million, forty-one thousand, three hundred five".