86228534548801 has 8 divisors (see below), whose sum is σ = 86523267073320. Its totient is φ = 85933804998912.

The previous prime is 86228534548781. The next prime is 86228534548811. The reversal of 86228534548801 is 10884543582268.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 47547299657025 + 38681234891776 = 6895455^2 + 6219424^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 86228534548801 - 2¹¹ = 86228534546753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86228534548811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68249241 + ... + 69501193.

It is an arithmetic number, because the mean of its divisors is an integer number (10815408384165).

Almost surely, 2^{86228534548801} is an apocalyptic number.

It is an amenable number.

86228534548801 is a deficient number, since it is larger than the sum of its proper divisors (294732524519).

86228534548801 is a wasteful number, since it uses less digits than its factorization.

86228534548801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487315.

The product of its (nonzero) digits is 117964800, while the sum is 64.

The spelling of 86228534548801 in words is "eighty-six trillion, two hundred twenty-eight billion, five hundred thirty-four million, five hundred forty-eight thousand, eight hundred one".