86312483712 has 512 divisors, whose sum is σ = 316143206400. Its totient is φ = 22574039040.

The previous prime is 86312483711. The next prime is 86312483723. The reversal of 86312483712 is 21738421368.

86312483712 is a `hidden beast` number, since 8 + 6 + 31 + 248 + 371 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86312483711) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39939912 + ... + 39942072.

It is an arithmetic number, because the mean of its divisors is an integer number (617467200).

Almost surely, 2^86312483712 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 86312483712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158071603200).

86312483712 is an abundant number, since it is smaller than the sum of its proper divisors (229830722688).

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

86312483712 is a wasteful number, since it uses less digits than its factorization.

86312483712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2331 (or 2313 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 86312483712 in words is "eighty-six billion, three hundred twelve million, four hundred eighty-three thousand, seven hundred twelve".