86436355363468 has 48 divisors (see below), whose sum is σ = 167722413391008. Its totient is φ = 38644615296000.

The previous prime is 86436355363429. The next prime is 86436355363471.

86436355363468 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 86436355363397 and 86436355363406.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 231660196 + ... + 232033012.

It is an arithmetic number, because the mean of its divisors is an integer number (3494216945646).

Almost surely, 2^{86436355363468} is an apocalyptic number.

It is an amenable number.

86436355363468 is a deficient number, since it is larger than the sum of its proper divisors (81286058027540).

86436355363468 is a wasteful number, since it uses less digits than its factorization.

86436355363468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459274 (or 459272 counting only the distinct ones).

The product of its digits is 2687385600, while the sum is 70.

The spelling of 86436355363468 in words is "eighty-six trillion, four hundred thirty-six billion, three hundred fifty-five million, three hundred sixty-three thousand, four hundred sixty-eight".