86418434838528 has 624 divisors, whose sum is σ = 283162251415680. Its totient is φ = 25173973794816.

The previous prime is 86418434838371. The next prime is 86418434838559. The reversal of 86418434838528 is 82583843481468.

86418434838528 is a `hidden beast` number, since 8 + 6 + 4 + 1 + 8 + 43 + 483 + 85 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

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

It is a congruent number.

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, 22062401626 + ... + 22062405542.

It is an arithmetic number, because the mean of its divisors is an integer number (453785659320).

Almost surely, 2^{86418434838528} 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 86418434838528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141581125707840).

86418434838528 is an abundant number, since it is smaller than the sum of its proper divisors (196743816577152).

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

86418434838528 is a wasteful number, since it uses less digits than its factorization.

86418434838528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6402 (or 6377 counting only the distinct ones).

The product of its digits is 1132462080, while the sum is 72.

The spelling of 86418434838528 in words is "eighty-six trillion, four hundred eighteen billion, four hundred thirty-four million, eight hundred thirty-eight thousand, five hundred twenty-eight".