86641084284216 has 256 divisors, whose sum is σ = 273668032512000. Its totient is φ = 22203408960000.

The previous prime is 86641084284187. The next prime is 86641084284301. The reversal of 86641084284216 is 61248248014668.

It is a self number, because there is not a number n which added to its sum of digits gives 86641084284216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 114815310 + ... + 115567458.

It is an arithmetic number, because the mean of its divisors is an integer number (1069015752000).

Almost surely, 2^{86641084284216} 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 86641084284216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136834016256000).

86641084284216 is an abundant number, since it is smaller than the sum of its proper divisors (187026948227784).

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

86641084284216 is a wasteful number, since it uses less digits than its factorization.

86641084284216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753010 (or 753006 counting only the distinct ones).

The product of its (nonzero) digits is 28311552, while the sum is 60.

The spelling of 86641084284216 in words is "eighty-six trillion, six hundred forty-one billion, eighty-four million, two hundred eighty-four thousand, two hundred sixteen".