86495249412 has 576 divisors, whose sum is σ = 282952499200. Its totient is φ = 22632825600.

The previous prime is 86495249411. The next prime is 86495249441. The reversal of 86495249412 is 21494259468.

86495249412 is a `hidden beast` number, since 8 + 64 + 95 + 2 + 494 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (4976640) is a multiple of the sum of its prime factors (405).

It is not an unprimeable number, because it can be changed into a prime (86495249411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 409929987 + ... + 409930197.

Almost surely, 2^86495249412 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 86495249412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141476249600).

86495249412 is an abundant number, since it is smaller than the sum of its proper divisors (196457249788).

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

86495249412 is a wasteful number, since it uses less digits than its factorization.

86495249412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 386 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 86495249412 in words is "eighty-six billion, four hundred ninety-five million, two hundred forty-nine thousand, four hundred twelve".