86343810026769 has 27 divisors (see below), whose sum is σ = 124871187441819. Its totient is φ = 57492310046400.

The previous prime is 86343810026713. The next prime is 86343810026777. The reversal of 86343810026769 is 96762001834368.

The square root of 86343810026769 is 9292137.

It is a perfect power (a square), and thus also a powerful number.

86343810026769 is a `hidden beast` number, since 8 + 6 + 3 + 438 + 100 + 26 + 76 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 143726666769 + 86200083360000 = 379113^2 + 9284400^2 .

It is not a de Polignac number, because 86343810026769 - 2⁷ = 86343810026641 is a prime.

It is a super-2 number, since 2×86343810026769² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86343810026069) 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 26 ways as a sum of consecutive naturals, for example, 33479568322 + ... + 33479570900.

Almost surely, 2^{86343810026769} is an apocalyptic number.

86343810026769 is the 9292137-th square number.

86343810026769 is the 4646069-th centered octagonal number.

It is an amenable number.

86343810026769 is a deficient number, since it is larger than the sum of its proper divisors (38527377415050).

86343810026769 is an frugal number, since it uses more digits than its factorization.

86343810026769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7566 (or 3783 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 86343810026769 in words is "eighty-six trillion, three hundred forty-three billion, eight hundred ten million, twenty-six thousand, seven hundred sixty-nine".