86230991447424 has 192 divisors, whose sum is σ = 249655902678000. Its totient is φ = 28568421421056.

The previous prime is 86230991447423. The next prime is 86230991447459. The reversal of 86230991447424 is 42474419903268.

86230991447424 is a `hidden beast` number, since 8 + 62 + 3 + 0 + 9 + 9 + 144 + 7 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×86230991447424² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86230991447423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129511014 + ... + 130175130.

Almost surely, 2^{86230991447424} 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 86230991447424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124827951339000).

86230991447424 is an abundant number, since it is smaller than the sum of its proper divisors (163424911230576).

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

86230991447424 is a wasteful number, since it uses less digits than its factorization.

86230991447424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664825 (or 664810 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 86230991447424 in words is "eighty-six trillion, two hundred thirty billion, nine hundred ninety-one million, four hundred forty-seven thousand, four hundred twenty-four".