86084183601 has 24 divisors (see below), whose sum is σ = 134682800616. Its totient is φ = 52668656640.

The previous prime is 86084183599. The next prime is 86084183617. The reversal of 86084183601 is 10638148068.

It is a happy number.

86084183601 is a `hidden beast` number, since 8 + 608 + 4 + 1 + 8 + 36 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7053480225 + 79030703376 = 83985^2 + 281124^2 .

It is not a de Polignac number, because 86084183601 - 2¹ = 86084183599 is a prime.

It is not an unprimeable number, because it can be changed into a prime (86084183621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2106240 + ... + 2146721.

It is an arithmetic number, because the mean of its divisors is an integer number (5611783359).

Almost surely, 2^86084183601 is an apocalyptic number.

It is an amenable number.

86084183601 is a deficient number, since it is larger than the sum of its proper divisors (48598617015).

86084183601 is a wasteful number, since it uses less digits than its factorization.

86084183601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4253153 (or 4253150 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 86084183601 in words is "eighty-six billion, eighty-four million, one hundred eighty-three thousand, six hundred one".