86940396566181 has 96 divisors (see below), whose sum is σ = 128412490752000. Its totient is φ = 56670624092160.

The previous prime is 86940396566137. The next prime is 86940396566183. The reversal of 86940396566181 is 18166569304968.

86940396566181 is a `hidden beast` number, since 8 + 6 + 9 + 4 + 0 + 396 + 56 + 6 + 181 = 666.

It is not a de Polignac number, because 86940396566181 - 2³⁹ = 86390640752293 is a prime.

It is a super-2 number, since 2×86940396566181² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86940396566183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45590138830 + ... + 45590140736.

It is an arithmetic number, because the mean of its divisors is an integer number (1337630112000).

Almost surely, 2^{86940396566181} is an apocalyptic number.

It is an amenable number.

86940396566181 is a deficient number, since it is larger than the sum of its proper divisors (41472094185819).

86940396566181 is a wasteful number, since it uses less digits than its factorization.

86940396566181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3399 (or 3396 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 72.

The spelling of 86940396566181 in words is "eighty-six trillion, nine hundred forty billion, three hundred ninety-six million, five hundred sixty-six thousand, one hundred eighty-one".