86413491468 has 144 divisors (see below), whose sum is σ = 232072573824. Its totient is φ = 28107129600.

The previous prime is 86413491433. The next prime is 86413491529. The reversal of 86413491468 is 86419431468.

86413491468 is a `hidden beast` number, since 8 + 64 + 1 + 34 + 91 + 468 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6962068 + ... + 6974468.

It is an arithmetic number, because the mean of its divisors is an integer number (1611615096).

Almost surely, 2^86413491468 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 86413491468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116036286912).

86413491468 is an abundant number, since it is smaller than the sum of its proper divisors (145659082356).

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

86413491468 is a wasteful number, since it uses less digits than its factorization.

86413491468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12594 (or 12580 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 86413491468 in words is "eighty-six billion, four hundred thirteen million, four hundred ninety-one thousand, four hundred sixty-eight".