86224288689 has 144 divisors (see below), whose sum is σ = 160414525440. Its totient is φ = 44127659520.

The previous prime is 86224288583. The next prime is 86224288699. The reversal of 86224288689 is 98688242268.

It is not a de Polignac number, because 86224288689 - 2⁷ = 86224288561 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (86224288699) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 106580917 + ... + 106581725.

It is an arithmetic number, because the mean of its divisors is an integer number (1113989760).

Almost surely, 2^86224288689 is an apocalyptic number.

It is an amenable number.

86224288689 is a deficient number, since it is larger than the sum of its proper divisors (74190236751).

86224288689 is a wasteful number, since it uses less digits than its factorization.

86224288689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1130 counting only the distinct ones).

The product of its digits is 42467328, while the sum is 63.

The spelling of 86224288689 in words is "eighty-six billion, two hundred twenty-four million, two hundred eighty-eight thousand, six hundred eighty-nine".