86608722838311 has 48 divisors (see below), whose sum is σ = 132785062650240. Its totient is φ = 56382317883360.

The previous prime is 86608722838303. The next prime is 86608722838399. The reversal of 86608722838311 is 11383822780668.

86608722838311 is a `hidden beast` number, since 8 + 6 + 60 + 8 + 7 + 228 + 38 + 311 = 666.

It is not a de Polignac number, because 86608722838311 - 2³ = 86608722838303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86608722818311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40963341 + ... + 43025721.

It is an arithmetic number, because the mean of its divisors is an integer number (2766355471880).

Almost surely, 2^{86608722838311} is an apocalyptic number.

86608722838311 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

86608722838311 is a deficient number, since it is larger than the sum of its proper divisors (46176339811929).

86608722838311 is a wasteful number, since it uses less digits than its factorization.

86608722838311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2066458 (or 2066446 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 86608722838311 in words is "eighty-six trillion, six hundred eight billion, seven hundred twenty-two million, eight hundred thirty-eight thousand, three hundred eleven".