86173786304865 has 128 divisors (see below), whose sum is σ = 178684426137600. Its totient is φ = 38588218421760.

The previous prime is 86173786304861. The next prime is 86173786304891. The reversal of 86173786304865 is 56840368737168.

86173786304865 is a `hidden beast` number, since 8 + 6 + 1 + 7 + 37 + 86 + 30 + 486 + 5 = 666.

It is not a de Polignac number, because 86173786304865 - 2² = 86173786304861 is a prime.

It is a super-2 number, since 2×86173786304865² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 86173786304793 and 86173786304802.

It is not an unprimeable number, because it can be changed into a prime (86173786304861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12917014 + ... + 18417296.

It is an arithmetic number, because the mean of its divisors is an integer number (1395972079200).

Almost surely, 2^{86173786304865} is an apocalyptic number.

It is an amenable number.

86173786304865 is an abundant number, since it is smaller than the sum of its proper divisors (92510639832735).

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

86173786304865 is a wasteful number, since it uses less digits than its factorization.

86173786304865 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5500644 (or 5500638 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 86173786304865 in words is "eighty-six trillion, one hundred seventy-three billion, seven hundred eighty-six million, three hundred four thousand, eight hundred sixty-five".