86230489415616 has 448 divisors, whose sum is σ = 312047691432960. Its totient is φ = 22738780753920.

The previous prime is 86230489415503. The next prime is 86230489415657. The reversal of 86230489415616 is 61651498403268.

86230489415616 is a `hidden beast` number, since 8 + 6 + 2 + 3 + 0 + 4 + 8 + 9 + 4 + 1 + 5 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 1186714326 + ... + 1186786986.

It is an arithmetic number, because the mean of its divisors is an integer number (696535025520).

Almost surely, 2^{86230489415616} 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 86230489415616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156023845716480).

86230489415616 is an abundant number, since it is smaller than the sum of its proper divisors (225817202017344).

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

86230489415616 is a wasteful number, since it uses less digits than its factorization.

86230489415616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80249 (or 80233 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 86230489415616 in words is "eighty-six trillion, two hundred thirty billion, four hundred eighty-nine million, four hundred fifteen thousand, six hundred sixteen".