86478341184 has 63 divisors (see below), whose sum is σ = 247894782213. Its totient is φ = 28823761152.

The previous prime is 86478341167. The next prime is 86478341197. The reversal of 86478341184 is 48114387468.

The square root of 86478341184 is 294072.

It is a perfect power (a square), and thus also a powerful number.

86478341184 is a `hidden beast` number, since 86 + 4 + 78 + 3 + 411 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 42156302400 + 44322038784 = 205320^2 + 210528^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 86478341184.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7051602 + ... + 7063854.

Almost surely, 2^86478341184 is an apocalyptic number.

86478341184 is the 294072-nd square number.

It is an amenable number.

86478341184 is an abundant number, since it is smaller than the sum of its proper divisors (161416441029).

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

86478341184 is an frugal number, since it uses more digits than its factorization.

86478341184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24524 (or 12258 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The spelling of 86478341184 in words is "eighty-six billion, four hundred seventy-eight million, three hundred forty-one thousand, one hundred eighty-four".