86884007408817 has 16 divisors (see below), whose sum is σ = 116992766452800. Its totient is φ = 57348964296000.

The previous prime is 86884007408789. The next prime is 86884007408827. The reversal of 86884007408817 is 71880470048868.

It is a happy number.

It is not a de Polignac number, because 86884007408817 - 2³⁴ = 86866827539633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (86884007408827) 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, 144928467 + ... + 145526727.

It is an arithmetic number, because the mean of its divisors is an integer number (7312047903300).

Almost surely, 2^{86884007408817} is an apocalyptic number.

It is an amenable number.

86884007408817 is a deficient number, since it is larger than the sum of its proper divisors (30108759043983).

86884007408817 is a wasteful number, since it uses less digits than its factorization.

86884007408817 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077664.

The product of its (nonzero) digits is 154140672, while the sum is 69.

The spelling of 86884007408817 in words is "eighty-six trillion, eight hundred eighty-four billion, seven million, four hundred eight thousand, eight hundred seventeen".