86414833296 has 405 divisors, whose sum is σ = 284554464649. Its totient is φ = 24457804800.

The previous prime is 86414833237. The next prime is 86414833319. The reversal of 86414833296 is 69233841468.

The square root of 86414833296 is 293964.

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

86414833296 is a `hidden beast` number, since 8 + 6 + 41 + 483 + 32 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 67277984400 + 19136848896 = 259380^2 + 138336^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 659655151 + ... + 659655281.

Almost surely, 2^86414833296 is an apocalyptic number.

86414833296 is the 293964-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86414833296

86414833296 is an abundant number, since it is smaller than the sum of its proper divisors (198139631353).

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

86414833296 is a wasteful number, since it uses less digits than its factorization.

86414833296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 164 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 86414833296 in words is "eighty-six billion, four hundred fourteen million, eight hundred thirty-three thousand, two hundred ninety-six".