86483349540864 has 520 divisors, whose sum is σ = 262342165789440. Its totient is φ = 28383792463872.

The previous prime is 86483349540811. The next prime is 86483349540911. The reversal of 86483349540864 is 46804594338468.

86483349540864 is a `hidden beast` number, since 8 + 6 + 4 + 8 + 33 + 49 + 540 + 8 + 6 + 4 = 666.

It is a super-2 number, since 2×86483349540864² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 86483349540792 and 86483349540801.

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 39 ways as a sum of consecutive naturals, for example, 15670109497 + ... + 15670115015.

Almost surely, 2^{86483349540864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86483349540864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131171082894720).

86483349540864 is an abundant number, since it is smaller than the sum of its proper divisors (175858816248576).

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

86483349540864 is an equidigital number, since it uses as much as digits as its factorization.

86483349540864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6275 (or 6244 counting only the distinct ones).

The product of its (nonzero) digits is 1911029760, while the sum is 72.

The spelling of 86483349540864 in words is "eighty-six trillion, four hundred eighty-three billion, three hundred forty-nine million, five hundred forty thousand, eight hundred sixty-four".