86349033621 has 24 divisors (see below), whose sum is σ = 125906540760. Its totient is φ = 57021636096.

The previous prime is 86349033613. The next prime is 86349033643. The reversal of 86349033621 is 12633094368.

86349033621 is a `hidden beast` number, since 8 + 634 + 9 + 0 + 3 + 3 + 6 + 2 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29716932996 + 56632100625 = 172386^2 + 237975^2 .

It is not a de Polignac number, because 86349033621 - 2³ = 86349033613 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86349073621) 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 23 ways as a sum of consecutive naturals, for example, 4126441 + ... + 4147313.

It is an arithmetic number, because the mean of its divisors is an integer number (5246105865).

Almost surely, 2^86349033621 is an apocalyptic number.

It is an amenable number.

86349033621 is a deficient number, since it is larger than the sum of its proper divisors (39557507139).

86349033621 is a wasteful number, since it uses less digits than its factorization.

86349033621 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25205 (or 25202 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 86349033621 in words is "eighty-six billion, three hundred forty-nine million, thirty-three thousand, six hundred twenty-one".