86241017423232 has 3072 divisors, whose sum is σ = 343022799974400. Its totient is φ = 20767670009856.

The previous prime is 86241017423221. The next prime is 86241017423257. The reversal of 86241017423232 is 23232471014268.

86241017423232 is a `hidden beast` number, since 8 + 6 + 2 + 410 + 174 + 2 + 32 + 32 = 666.

It is a congruent number.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 294337943278 + ... + 294337943570.

It is an arithmetic number, because the mean of its divisors is an integer number (111661067700).

Almost surely, 2^{86241017423232} 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 86241017423232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171511399987200).

86241017423232 is an abundant number, since it is smaller than the sum of its proper divisors (256781782551168).

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

86241017423232 is a wasteful number, since it uses less digits than its factorization.

86241017423232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 86241017423232 in words is "eighty-six trillion, two hundred forty-one billion, seventeen million, four hundred twenty-three thousand, two hundred thirty-two".