86458766785468 has 48 divisors (see below), whose sum is σ = 188691039226368. Its totient is φ = 33675639192000.

The previous prime is 86458766785463. The next prime is 86458766785511.

86458766785468 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86458766785463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38894443 + ... + 41057218.

It is an arithmetic number, because the mean of its divisors is an integer number (3931063317216).

Almost surely, 2^{86458766785468} is an apocalyptic number.

It is an amenable number.

86458766785468 is an abundant number, since it is smaller than the sum of its proper divisors (102232272440900).

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

86458766785468 is a wasteful number, since it uses less digits than its factorization.

86458766785468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79955194 (or 79955192 counting only the distinct ones).

The product of its digits is 104044953600, while the sum is 88.

The spelling of 86458766785468 in words is "eighty-six trillion, four hundred fifty-eight billion, seven hundred sixty-six million, seven hundred eighty-five thousand, four hundred sixty-eight".