86198913529569 has 15 divisors (see below), whose sum is σ = 128766403058403. Its totient is φ = 57465886647024.

The previous prime is 86198913529549. The next prime is 86198913529579. The reversal of 86198913529569 is 96592531989168.

The square root of 86198913529569 is 9284337.

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

86198913529569 is a `hidden beast` number, since 8 + 6 + 1 + 9 + 89 + 1 + 3 + 529 + 5 + 6 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24102748397025 + 62096165132544 = 4909455^2 + 7880112^2 .

It is not a de Polignac number, because 86198913529569 - 2⁵ = 86198913529537 is a prime.

It is a super-2 number, since 2×86198913529569² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (86198913529549) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 83043237 + ... + 84074829.

Almost surely, 2^{86198913529569} is an apocalyptic number.

86198913529569 is the 9284337-th square number.

86198913529569 is the 4642169-th centered octagonal number.

It is an amenable number.

86198913529569 is a deficient number, since it is larger than the sum of its proper divisors (42567489528834).

86198913529569 is an frugal number, since it uses more digits than its factorization.

86198913529569 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2063198 (or 1031596 counting only the distinct ones).

The product of its digits is 2267481600, while the sum is 81.

86198913529569 divided by its sum of digits (81) gives a square (1064184117649 = 1031593²).

The spelling of 86198913529569 in words is "eighty-six trillion, one hundred ninety-eight billion, nine hundred thirteen million, five hundred twenty-nine thousand, five hundred sixty-nine".