86317367472 has 210 divisors, whose sum is σ = 291685058268. Its totient is φ = 24661941696.

The previous prime is 86317367431. The next prime is 86317367509. The reversal of 86317367472 is 27476371368.

86317367472 is a `hidden beast` number, since 86 + 31 + 7 + 3 + 67 + 472 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 496023 + ... + 647049.

Almost surely, 2^86317367472 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 86317367472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145842529134).

86317367472 is an abundant number, since it is smaller than the sum of its proper divisors (205367690796).

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

86317367472 is a wasteful number, since it uses less digits than its factorization.

86317367472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151067 (or 151039 counting only the distinct ones).

The product of its digits is 7112448, while the sum is 54.

The spelling of 86317367472 in words is "eighty-six billion, three hundred seventeen million, three hundred sixty-seven thousand, four hundred seventy-two".