86385348967482 has 120 divisors (see below), whose sum is σ = 207149946775200. Its totient is φ = 26832374033760.

The previous prime is 86385348967469. The next prime is 86385348967531. The reversal of 86385348967482 is 28476984358368.

86385348967482 is a `hidden beast` number, since 8 + 6 + 3 + 8 + 5 + 3 + 48 + 96 + 7 + 482 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7682019 + ... + 15224457.

It is an arithmetic number, because the mean of its divisors is an integer number (1726249556460).

Almost surely, 2^{86385348967482} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86385348967482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103574973387600).

86385348967482 is an abundant number, since it is smaller than the sum of its proper divisors (120764597807718).

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

86385348967482 is a wasteful number, since it uses less digits than its factorization.

86385348967482 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7542594 (or 7542524 counting only the distinct ones).

The product of its digits is 13377208320, while the sum is 81.

The spelling of 86385348967482 in words is "eighty-six trillion, three hundred eighty-five billion, three hundred forty-eight million, nine hundred sixty-seven thousand, four hundred eighty-two".