86446555564468 has 36 divisors (see below), whose sum is σ = 166310472252736. Its totient is φ = 39287773602000.

The previous prime is 86446555564427. The next prime is 86446555564477.

86446555564468 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×86446555564468³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 86446555564394 and 86446555564403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10784508 + ... + 17005843.

Almost surely, 2^{86446555564468} is an apocalyptic number.

It is an amenable number.

86446555564468 is a deficient number, since it is larger than the sum of its proper divisors (79863916688268).

86446555564468 is a wasteful number, since it uses less digits than its factorization.

86446555564468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27796804 (or 27796791 counting only the distinct ones).

The product of its digits is 13271040000, while the sum is 76.

The spelling of 86446555564468 in words is "eighty-six trillion, four hundred forty-six billion, five hundred fifty-five million, five hundred sixty-four thousand, four hundred sixty-eight".