86331101805 has 64 divisors (see below), whose sum is σ = 170983008000. Its totient is φ = 41035873536.

The previous prime is 86331101797. The next prime is 86331101807. The reversal of 86331101805 is 50810113368.

86331101805 is a `hidden beast` number, since 8 + 633 + 1 + 1 + 0 + 18 + 0 + 5 = 666.

It is not a de Polignac number, because 86331101805 - 2³ = 86331101797 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 86331101805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86331101807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 797235 + ... + 899024.

It is an arithmetic number, because the mean of its divisors is an integer number (2671609500).

Almost surely, 2^86331101805 is an apocalyptic number.

It is an amenable number.

86331101805 is a deficient number, since it is larger than the sum of its proper divisors (84651906195).

86331101805 is a wasteful number, since it uses less digits than its factorization.

86331101805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696315 (or 1696309 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 86331101805 in words is "eighty-six billion, three hundred thirty-one million, one hundred one thousand, eight hundred five".