86122258080345 has 16 divisors (see below), whose sum is σ = 153106236587520. Its totient is φ = 45931870976112.

The previous prime is 86122258080329. The next prime is 86122258080389. The reversal of 86122258080345 is 54308085222168.

86122258080345 is a `hidden beast` number, since 8 + 6 + 1 + 2 + 22 + 580 + 8 + 0 + 34 + 5 = 666.

It is not a de Polignac number, because 86122258080345 - 2⁴ = 86122258080329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 86122258080291 and 86122258080300.

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, 318971326089 + ... + 318971326358.

It is an arithmetic number, because the mean of its divisors is an integer number (9569139786720).

Almost surely, 2^{86122258080345} is an apocalyptic number.

It is an amenable number.

86122258080345 is a deficient number, since it is larger than the sum of its proper divisors (66983978507175).

86122258080345 is a wasteful number, since it uses less digits than its factorization.

86122258080345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637942652461 (or 637942652455 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 86122258080345 in words is "eighty-six trillion, one hundred twenty-two billion, two hundred fifty-eight million, eighty thousand, three hundred forty-five".