86339229696 has 576 divisors, whose sum is σ = 284760403200. Its totient is φ = 26013892608.

The previous prime is 86339229661. The next prime is 86339229701. The reversal of 86339229696 is 69692293368.

86339229696 is a `hidden beast` number, since 8 + 6 + 339 + 2 + 296 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 217478970 + ... + 217479366.

It is an arithmetic number, because the mean of its divisors is an integer number (494375700).

Almost surely, 2^86339229696 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 86339229696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142380201600).

86339229696 is an abundant number, since it is smaller than the sum of its proper divisors (198421173504).

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

86339229696 is a wasteful number, since it uses less digits than its factorization.

86339229696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 444 counting only the distinct ones).

The product of its digits is 45349632, while the sum is 63.

It can be divided in two parts, 8633 and 9229696, that added together give a palindrome (9238329).

The spelling of 86339229696 in words is "eighty-six billion, three hundred thirty-nine million, two hundred twenty-nine thousand, six hundred ninety-six".