86197042116 has 36 divisors (see below), whose sum is σ = 218002484700. Its totient is φ = 28717114368.

The previous prime is 86197042111. The next prime is 86197042117. The reversal of 86197042116 is 61124079168.

86197042116 is a `hidden beast` number, since 8 + 619 + 7 + 0 + 4 + 21 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 68309049600 + 17887992516 = 261360^2 + 133746^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (86197042111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 565761 + ... + 701768.

It is an arithmetic number, because the mean of its divisors is an integer number (6055624575).

Almost surely, 2^86197042116 is an apocalyptic number.

It is an amenable number.

86197042116 is an abundant number, since it is smaller than the sum of its proper divisors (131805442584).

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

86197042116 is a wasteful number, since it uses less digits than its factorization.

86197042116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269428 (or 1269423 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 86197042116 in words is "eighty-six billion, one hundred ninety-seven million, forty-two thousand, one hundred sixteen".