86121411412168 has 32 divisors (see below), whose sum is σ = 176219004928320. Its totient is φ = 39132413320000.

The previous prime is 86121411412123. The next prime is 86121411412189.

86121411412168 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170781508 + ... + 171285043.

It is an arithmetic number, because the mean of its divisors is an integer number (5506843904010).

Almost surely, 2^{86121411412168} is an apocalyptic number.

86121411412168 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

86121411412168 is an abundant number, since it is smaller than the sum of its proper divisors (90097593516152).

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

86121411412168 is a wasteful number, since it uses less digits than its factorization.

86121411412168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342069429 (or 342069425 counting only the distinct ones).

The product of its digits is 147456, while the sum is 46.

The spelling of 86121411412168 in words is "eighty-six trillion, one hundred twenty-one billion, four hundred eleven million, four hundred twelve thousand, one hundred sixty-eight".