86486414063616 has 576 divisors, whose sum is σ = 308619495475200. Its totient is φ = 22777133727744.

The previous prime is 86486414063591. The next prime is 86486414063713. The reversal of 86486414063616 is 61636041468468.

It is a happy number.

86486414063616 is a `hidden beast` number, since 8 + 6 + 4 + 8 + 6 + 4 + 1 + 4 + 0 + 6 + 3 + 616 = 666.

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

It is a super-3 number, since 3×86486414063616³ (a number of 43 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 90227121 + ... + 91180623.

It is an arithmetic number, because the mean of its divisors is an integer number (535797735200).

Almost surely, 2^{86486414063616} 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 86486414063616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154309747737600).

86486414063616 is an abundant number, since it is smaller than the sum of its proper divisors (222133081411584).

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

86486414063616 is a wasteful number, since it uses less digits than its factorization.

86486414063616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953594 (or 953571 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 63.

The spelling of 86486414063616 in words is "eighty-six trillion, four hundred eighty-six billion, four hundred fourteen million, sixty-three thousand, six hundred sixteen".