86452233225468 has 48 divisors (see below), whose sum is σ = 220061512788096. Its totient is φ = 26197493722560.

The previous prime is 86452233225431. The next prime is 86452233225557.

86452233225468 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21946830 + ... + 25584522.

It is an arithmetic number, because the mean of its divisors is an integer number (4584614849752).

Almost surely, 2^{86452233225468} is an apocalyptic number.

It is an amenable number.

86452233225468 is an abundant number, since it is smaller than the sum of its proper divisors (133609279562628).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86452233225468 is a wasteful number, since it uses less digits than its factorization.

86452233225468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3817754 (or 3817752 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 60.

The spelling of 86452233225468 in words is "eighty-six trillion, four hundred fifty-two billion, two hundred thirty-three million, two hundred twenty-five thousand, four hundred sixty-eight".