86046235284321 has 45 divisors (see below), whose sum is σ = 139188094098339. Its totient is φ = 52950861525744.

The previous prime is 86046235284293. The next prime is 86046235284337. The reversal of 86046235284321 is 12348253264068.

The square root of 86046235284321 is 9276111.

It is a perfect power (a square), and thus also a powerful number.

86046235284321 is a `hidden beast` number, since 8 + 6 + 0 + 4 + 6 + 2 + 35 + 284 + 321 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12728733030225 + 73317502254096 = 3567735^2 + 8562564^2 .

It is a de Polignac number, because none of the positive numbers 2^k-86046235284321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (86046235284521) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1085265346 + ... + 1085344628.

Almost surely, 2^{86046235284321} is an apocalyptic number.

86046235284321 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

86046235284321 is the 9276111-st square number.

86046235284321 is the 4638056-th centered octagonal number.

It is an amenable number.

86046235284321 is a deficient number, since it is larger than the sum of its proper divisors (53141858814018).

86046235284321 is an frugal number, since it uses more digits than its factorization.

86046235284321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158604 (or 79299 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 86046235284321 in words is "eighty-six trillion, forty-six billion, two hundred thirty-five million, two hundred eighty-four thousand, three hundred twenty-one".