86585676381 has 16 divisors (see below), whose sum is σ = 128299129920. Its totient is φ = 57712960080.

The previous prime is 86585676367. The next prime is 86585676389. The reversal of 86585676381 is 18367658568.

It is a happy number.

86585676381 is a `hidden beast` number, since 8 + 6 + 5 + 8 + 567 + 63 + 8 + 1 = 666.

It is not a de Polignac number, because 86585676381 - 2¹⁴ = 86585659997 is a prime.

It is a super-2 number, since 2×86585676381² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86585676389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152695 + ... + 443268.

It is an arithmetic number, because the mean of its divisors is an integer number (8018695620).

Almost surely, 2^86585676381 is an apocalyptic number.

It is an amenable number.

86585676381 is a deficient number, since it is larger than the sum of its proper divisors (41713453539).

86585676381 is a wasteful number, since it uses less digits than its factorization.

86585676381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601353 (or 601347 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 63.

The spelling of 86585676381 in words is "eighty-six billion, five hundred eighty-five million, six hundred seventy-six thousand, three hundred eighty-one".